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Finding the Fourth Proportional to 498,421.48, 747,642.80 and 178,594.20

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Solution

The fourth proportional to 498,421.48, 747,642.80 and 178,594.20 is: 267,895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,421.48 : 747,642.80 = 178,594.20 : x
  2. Step 2: Convert to fraction form
    498,421.48/747,642.80 = 178,594.20/x
  3. Step 3: Cross multiply
    498,421.48x = 747,642.80 × 178,594.20
  4. Step 4: Simplify right side
    498,421.48x = 133,524,667,751.76
  5. Step 5: Solve for x
    x = 133,524,667,751.76/498,421.48
  6. Step 6: Final answer
    x = 267,895.09

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1.5x scale

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.