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Finding the Fourth Proportional to 311,124.59, 429,319.07 and 175,156.07

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Solution

The fourth proportional to 311,124.59, 429,319.07 and 175,156.07 is: 241,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,124.59 : 429,319.07 = 175,156.07 : x
  2. Step 2: Convert to fraction form
    311,124.59/429,319.07 = 175,156.07/x
  3. Step 3: Cross multiply
    311,124.59x = 429,319.07 × 175,156.07
  4. Step 4: Simplify right side
    311,124.59x = 75,197,838,711.71
  5. Step 5: Solve for x
    x = 75,197,838,711.71/311,124.59
  6. Step 6: Final answer
    x = 241,696.87

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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.