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Finding the Fourth Proportional to 407,575.28, 611,275.28 and 255,699.20

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Solution

The fourth proportional to 407,575.28, 611,275.28 and 255,699.20 is: 383,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,575.28 : 611,275.28 = 255,699.20 : x
  2. Step 2: Convert to fraction form
    407,575.28/611,275.28 = 255,699.20/x
  3. Step 3: Cross multiply
    407,575.28x = 611,275.28 × 255,699.20
  4. Step 4: Simplify right side
    407,575.28x = 156,302,600,075.78
  5. Step 5: Solve for x
    x = 156,302,600,075.78/407,575.28
  6. Step 6: Final answer
    x = 383,493.82

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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.