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Finding the Fourth Proportional to 529,640.40, 792,646.20 and 319,429.20

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Solution

The fourth proportional to 529,640.40, 792,646.20 and 319,429.20 is: 478,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,640.40 : 792,646.20 = 319,429.20 : x
  2. Step 2: Convert to fraction form
    529,640.40/792,646.20 = 319,429.20/x
  3. Step 3: Cross multiply
    529,640.40x = 792,646.20 × 319,429.20
  4. Step 4: Simplify right side
    529,640.40x = 253,194,341,549.04
  5. Step 5: Solve for x
    x = 253,194,341,549.04/529,640.40
  6. Step 6: Final answer
    x = 478,049.52

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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.