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Finding the Fourth Proportional to 315,830.34, 435,838.68 and 172,591.25

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Solution

The fourth proportional to 315,830.34, 435,838.68 and 172,591.25 is: 238,171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,830.34 : 435,838.68 = 172,591.25 : x
  2. Step 2: Convert to fraction form
    315,830.34/435,838.68 = 172,591.25/x
  3. Step 3: Cross multiply
    315,830.34x = 435,838.68 × 172,591.25
  4. Step 4: Simplify right side
    315,830.34x = 75,221,940,400.36
  5. Step 5: Solve for x
    x = 75,221,940,400.36/315,830.34
  6. Step 6: Final answer
    x = 238,171.99

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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.