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Finding the Fourth Proportional to 499,004.40, 688,627.14 and 284,144.64

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Solution

The fourth proportional to 499,004.40, 688,627.14 and 284,144.64 is: 392,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,004.40 : 688,627.14 = 284,144.64 : x
  2. Step 2: Convert to fraction form
    499,004.40/688,627.14 = 284,144.64/x
  3. Step 3: Cross multiply
    499,004.40x = 688,627.14 × 284,144.64
  4. Step 4: Simplify right side
    499,004.40x = 195,669,710,789.53
  5. Step 5: Solve for x
    x = 195,669,710,789.53/499,004.40
  6. Step 6: Final answer
    x = 392,120.21

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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.