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Finding the Fourth Proportional to 411,359.10, 617,038.65 and 328,415.10

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Solution

The fourth proportional to 411,359.10, 617,038.65 and 328,415.10 is: 492,622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,359.10 : 617,038.65 = 328,415.10 : x
  2. Step 2: Convert to fraction form
    411,359.10/617,038.65 = 328,415.10/x
  3. Step 3: Cross multiply
    411,359.10x = 617,038.65 × 328,415.10
  4. Step 4: Simplify right side
    411,359.10x = 202,644,809,943.62
  5. Step 5: Solve for x
    x = 202,644,809,943.62/411,359.10
  6. Step 6: Final answer
    x = 492,622.65

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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.