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Finding the Fourth Proportional to 315,785.64, 435,787.22 and 172,545.66

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Solution

The fourth proportional to 315,785.64, 435,787.22 and 172,545.66 is: 238,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,785.64 : 435,787.22 = 172,545.66 : x
  2. Step 2: Convert to fraction form
    315,785.64/435,787.22 = 172,545.66/x
  3. Step 3: Cross multiply
    315,785.64x = 435,787.22 × 172,545.66
  4. Step 4: Simplify right side
    315,785.64x = 75,193,193,494.47
  5. Step 5: Solve for x
    x = 75,193,193,494.47/315,785.64
  6. Step 6: Final answer
    x = 238,114.67

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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.