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Finding the Fourth Proportional to 257,543.80, 386,315.70 and 253,169.80

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Solution

The fourth proportional to 257,543.80, 386,315.70 and 253,169.80 is: 379,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,543.80 : 386,315.70 = 253,169.80 : x
  2. Step 2: Convert to fraction form
    257,543.80/386,315.70 = 253,169.80/x
  3. Step 3: Cross multiply
    257,543.80x = 386,315.70 × 253,169.80
  4. Step 4: Simplify right side
    257,543.80x = 97,803,468,505.86
  5. Step 5: Solve for x
    x = 97,803,468,505.86/257,543.80
  6. Step 6: Final answer
    x = 379,754.70

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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.