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Finding the Fourth Proportional to 287,624.20, 430,658.70 and 225,416.20

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Solution

The fourth proportional to 287,624.20, 430,658.70 and 225,416.20 is: 337,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,624.20 : 430,658.70 = 225,416.20 : x
  2. Step 2: Convert to fraction form
    287,624.20/430,658.70 = 225,416.20/x
  3. Step 3: Cross multiply
    287,624.20x = 430,658.70 × 225,416.20
  4. Step 4: Simplify right side
    287,624.20x = 97,077,447,650.94
  5. Step 5: Solve for x
    x = 97,077,447,650.94/287,624.20
  6. Step 6: Final answer
    x = 337,514.88

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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.