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Finding the Fourth Proportional to 437,956.40, 656,878.12 and 138,467.40

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Solution

The fourth proportional to 437,956.40, 656,878.12 and 138,467.40 is: 207,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,956.40 : 656,878.12 = 138,467.40 : x
  2. Step 2: Convert to fraction form
    437,956.40/656,878.12 = 138,467.40/x
  3. Step 3: Cross multiply
    437,956.40x = 656,878.12 × 138,467.40
  4. Step 4: Simplify right side
    437,956.40x = 90,956,205,393.29
  5. Step 5: Solve for x
    x = 90,956,205,393.29/437,956.40
  6. Step 6: Final answer
    x = 207,683.24

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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.