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Finding the Fourth Proportional to 461,377, 636,739.14 and 260,211.88

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Solution

The fourth proportional to 461,377, 636,739.14 and 260,211.88 is: 359,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,377 : 636,739.14 = 260,211.88 : x
  2. Step 2: Convert to fraction form
    461,377/636,739.14 = 260,211.88/x
  3. Step 3: Cross multiply
    461,377x = 636,739.14 × 260,211.88
  4. Step 4: Simplify right side
    461,377x = 165,687,088,688.98
  5. Step 5: Solve for x
    x = 165,687,088,688.98/461,377
  6. Step 6: Final answer
    x = 359,114.32

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1.5x scale

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.