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Finding the Fourth Proportional to 357,377.12, 493,145.52 and 206,470.88

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Solution

The fourth proportional to 357,377.12, 493,145.52 and 206,470.88 is: 284,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,377.12 : 493,145.52 = 206,470.88 : x
  2. Step 2: Convert to fraction form
    357,377.12/493,145.52 = 206,470.88/x
  3. Step 3: Cross multiply
    357,377.12x = 493,145.52 × 206,470.88
  4. Step 4: Simplify right side
    357,377.12x = 101,820,189,482.46
  5. Step 5: Solve for x
    x = 101,820,189,482.46/357,377.12
  6. Step 6: Final answer
    x = 284,909.65

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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.