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Finding the Fourth Proportional to 499,097.52, 688,674.96 and 284,241.60

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Solution

The fourth proportional to 499,097.52, 688,674.96 and 284,241.60 is: 392,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,097.52 : 688,674.96 = 284,241.60 : x
  2. Step 2: Convert to fraction form
    499,097.52/688,674.96 = 284,241.60/x
  3. Step 3: Cross multiply
    499,097.52x = 688,674.96 × 284,241.60
  4. Step 4: Simplify right side
    499,097.52x = 195,750,072,510.34
  5. Step 5: Solve for x
    x = 195,750,072,510.34/499,097.52
  6. Step 6: Final answer
    x = 392,208.06

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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.