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Finding the Fourth Proportional to 411,616.80, 617,036.40 and 243,266.40

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Solution

The fourth proportional to 411,616.80, 617,036.40 and 243,266.40 is: 364,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,616.80 : 617,036.40 = 243,266.40 : x
  2. Step 2: Convert to fraction form
    411,616.80/617,036.40 = 243,266.40/x
  3. Step 3: Cross multiply
    411,616.80x = 617,036.40 × 243,266.40
  4. Step 4: Simplify right side
    411,616.80x = 150,104,223,696.96
  5. Step 5: Solve for x
    x = 150,104,223,696.96/411,616.80
  6. Step 6: Final answer
    x = 364,669.82

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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.