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Finding the Fourth Proportional to 437,746.32, 656,648.64 and 138,239.10

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Solution

The fourth proportional to 437,746.32, 656,648.64 and 138,239.10 is: 207,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,746.32 : 656,648.64 = 138,239.10 : x
  2. Step 2: Convert to fraction form
    437,746.32/656,648.64 = 138,239.10/x
  3. Step 3: Cross multiply
    437,746.32x = 656,648.64 × 138,239.10
  4. Step 4: Simplify right side
    437,746.32x = 90,774,517,009.82
  5. Step 5: Solve for x
    x = 90,774,517,009.82/437,746.32
  6. Step 6: Final answer
    x = 207,367.86

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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.