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Finding the Fourth Proportional to 499,234.32, 688,943.61 and 284,394.51

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Solution

The fourth proportional to 499,234.32, 688,943.61 and 284,394.51 is: 392,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,234.32 : 688,943.61 = 284,394.51 : x
  2. Step 2: Convert to fraction form
    499,234.32/688,943.61 = 284,394.51/x
  3. Step 3: Cross multiply
    499,234.32x = 688,943.61 × 284,394.51
  4. Step 4: Simplify right side
    499,234.32x = 195,931,780,383.58
  5. Step 5: Solve for x
    x = 195,931,780,383.58/499,234.32
  6. Step 6: Final answer
    x = 392,464.57

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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.