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Finding the Fourth Proportional to 415,023.66, 623,095.18 and 265,555.72

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Solution

The fourth proportional to 415,023.66, 623,095.18 and 265,555.72 is: 398,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,023.66 : 623,095.18 = 265,555.72 : x
  2. Step 2: Convert to fraction form
    415,023.66/623,095.18 = 265,555.72/x
  3. Step 3: Cross multiply
    415,023.66x = 623,095.18 × 265,555.72
  4. Step 4: Simplify right side
    415,023.66x = 165,466,489,153.43
  5. Step 5: Solve for x
    x = 165,466,489,153.43/415,023.66
  6. Step 6: Final answer
    x = 398,691.70

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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.