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Finding the Fourth Proportional to 506,477.61, 698,861.52 and 291,576.15

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Solution

The fourth proportional to 506,477.61, 698,861.52 and 291,576.15 is: 402,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,477.61 : 698,861.52 = 291,576.15 : x
  2. Step 2: Convert to fraction form
    506,477.61/698,861.52 = 291,576.15/x
  3. Step 3: Cross multiply
    506,477.61x = 698,861.52 × 291,576.15
  4. Step 4: Simplify right side
    506,477.61x = 203,771,351,384.75
  5. Step 5: Solve for x
    x = 203,771,351,384.75/506,477.61
  6. Step 6: Final answer
    x = 402,330.42

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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.