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Finding the Fourth Proportional to 530,902, 732,644.80 and 292,438

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Solution

The fourth proportional to 530,902, 732,644.80 and 292,438 is: 403,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,902 : 732,644.80 = 292,438 : x
  2. Step 2: Convert to fraction form
    530,902/732,644.80 = 292,438/x
  3. Step 3: Cross multiply
    530,902x = 732,644.80 × 292,438
  4. Step 4: Simplify right side
    530,902x = 214,253,180,022.40
  5. Step 5: Solve for x
    x = 214,253,180,022.40/530,902
  6. Step 6: Final answer
    x = 403,564.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.