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Finding the Fourth Proportional to 499,187.22, 688,798.72 and 284,331.48

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Solution

The fourth proportional to 499,187.22, 688,798.72 and 284,331.48 is: 392,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,187.22 : 688,798.72 = 284,331.48 : x
  2. Step 2: Convert to fraction form
    499,187.22/688,798.72 = 284,331.48/x
  3. Step 3: Cross multiply
    499,187.22x = 688,798.72 × 284,331.48
  4. Step 4: Simplify right side
    499,187.22x = 195,847,159,479.71
  5. Step 5: Solve for x
    x = 195,847,159,479.71/499,187.22
  6. Step 6: Final answer
    x = 392,332.08

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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.