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Finding the Fourth Proportional to 499,235.34, 688,864.32 and 284,379.60

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Solution

The fourth proportional to 499,235.34, 688,864.32 and 284,379.60 is: 392,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,235.34 : 688,864.32 = 284,379.60 : x
  2. Step 2: Convert to fraction form
    499,235.34/688,864.32 = 284,379.60/x
  3. Step 3: Cross multiply
    499,235.34x = 688,864.32 × 284,379.60
  4. Step 4: Simplify right side
    499,235.34x = 195,898,959,775.87
  5. Step 5: Solve for x
    x = 195,898,959,775.87/499,235.34
  6. Step 6: Final answer
    x = 392,398.02

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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.