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Finding the Fourth Proportional to 461,346.32, 636,680.04 and 260,138

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Solution

The fourth proportional to 461,346.32, 636,680.04 and 260,138 is: 359,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,346.32 : 636,680.04 = 260,138 : x
  2. Step 2: Convert to fraction form
    461,346.32/636,680.04 = 260,138/x
  3. Step 3: Cross multiply
    461,346.32x = 636,680.04 × 260,138
  4. Step 4: Simplify right side
    461,346.32x = 165,624,672,245.52
  5. Step 5: Solve for x
    x = 165,624,672,245.52/461,346.32
  6. Step 6: Final answer
    x = 359,002.91

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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.