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Finding the Fourth Proportional to 505,098.40, 757,641.12 and 145,278.04

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Solution

The fourth proportional to 505,098.40, 757,641.12 and 145,278.04 is: 217,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,098.40 : 757,641.12 = 145,278.04 : x
  2. Step 2: Convert to fraction form
    505,098.40/757,641.12 = 145,278.04/x
  3. Step 3: Cross multiply
    505,098.40x = 757,641.12 × 145,278.04
  4. Step 4: Simplify right side
    505,098.40x = 110,068,616,937.01
  5. Step 5: Solve for x
    x = 110,068,616,937.01/505,098.40
  6. Step 6: Final answer
    x = 217,915.20

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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.