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Finding the Fourth Proportional to 415,856.42, 623,807.33 and 131,525.74

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Solution

The fourth proportional to 415,856.42, 623,807.33 and 131,525.74 is: 197,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,856.42 : 623,807.33 = 131,525.74 : x
  2. Step 2: Convert to fraction form
    415,856.42/623,807.33 = 131,525.74/x
  3. Step 3: Cross multiply
    415,856.42x = 623,807.33 × 131,525.74
  4. Step 4: Simplify right side
    415,856.42x = 82,046,720,695.67
  5. Step 5: Solve for x
    x = 82,046,720,695.67/415,856.42
  6. Step 6: Final answer
    x = 197,295.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.