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Finding the Fourth Proportional to 617,640.40, 924,905.40 and 406,133.20

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Solution

The fourth proportional to 617,640.40, 924,905.40 and 406,133.20 is: 608,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,640.40 : 924,905.40 = 406,133.20 : x
  2. Step 2: Convert to fraction form
    617,640.40/924,905.40 = 406,133.20/x
  3. Step 3: Cross multiply
    617,640.40x = 924,905.40 × 406,133.20
  4. Step 4: Simplify right side
    617,640.40x = 375,634,789,799.28
  5. Step 5: Solve for x
    x = 375,634,789,799.28/617,640.40
  6. Step 6: Final answer
    x = 608,177.17

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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.