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Finding the Fourth Proportional to 461,120.32, 691,787.40 and 180,640

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Solution

The fourth proportional to 461,120.32, 691,787.40 and 180,640 is: 271,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,120.32 : 691,787.40 = 180,640 : x
  2. Step 2: Convert to fraction form
    461,120.32/691,787.40 = 180,640/x
  3. Step 3: Cross multiply
    461,120.32x = 691,787.40 × 180,640
  4. Step 4: Simplify right side
    461,120.32x = 124,964,475,936
  5. Step 5: Solve for x
    x = 124,964,475,936/461,120.32
  6. Step 6: Final answer
    x = 271,001.89

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1.5x scale

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.