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Finding the Fourth Proportional to 315,711.52, 435,688.32 and 172,480.84

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Solution

The fourth proportional to 315,711.52, 435,688.32 and 172,480.84 is: 238,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,711.52 : 435,688.32 = 172,480.84 : x
  2. Step 2: Convert to fraction form
    315,711.52/435,688.32 = 172,480.84/x
  3. Step 3: Cross multiply
    315,711.52x = 435,688.32 × 172,480.84
  4. Step 4: Simplify right side
    315,711.52x = 75,147,887,411.79
  5. Step 5: Solve for x
    x = 75,147,887,411.79/315,711.52
  6. Step 6: Final answer
    x = 238,027.07

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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.