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Finding the Fourth Proportional to 411,431.20, 617,146.80 and 346,477.30

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Solution

The fourth proportional to 411,431.20, 617,146.80 and 346,477.30 is: 519,715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,431.20 : 617,146.80 = 346,477.30 : x
  2. Step 2: Convert to fraction form
    411,431.20/617,146.80 = 346,477.30/x
  3. Step 3: Cross multiply
    411,431.20x = 617,146.80 × 346,477.30
  4. Step 4: Simplify right side
    411,431.20x = 213,827,356,967.64
  5. Step 5: Solve for x
    x = 213,827,356,967.64/411,431.20
  6. Step 6: Final answer
    x = 519,715.95

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.