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Finding the Fourth Proportional to 498,861.32, 688,442.10 and 297,773.96

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Solution

The fourth proportional to 498,861.32, 688,442.10 and 297,773.96 is: 410,936.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,861.32 : 688,442.10 = 297,773.96 : x
  2. Step 2: Convert to fraction form
    498,861.32/688,442.10 = 297,773.96/x
  3. Step 3: Cross multiply
    498,861.32x = 688,442.10 × 297,773.96
  4. Step 4: Simplify right side
    498,861.32x = 205,000,130,347.72
  5. Step 5: Solve for x
    x = 205,000,130,347.72/498,861.32
  6. Step 6: Final answer
    x = 410,936.11

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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.