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Finding the Fourth Proportional to 432,002.70, 647,712.45 and 229,632.30

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Solution

The fourth proportional to 432,002.70, 647,712.45 and 229,632.30 is: 344,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,002.70 : 647,712.45 = 229,632.30 : x
  2. Step 2: Convert to fraction form
    432,002.70/647,712.45 = 229,632.30/x
  3. Step 3: Cross multiply
    432,002.70x = 647,712.45 × 229,632.30
  4. Step 4: Simplify right side
    432,002.70x = 148,735,699,632.14
  5. Step 5: Solve for x
    x = 148,735,699,632.14/432,002.70
  6. Step 6: Final answer
    x = 344,293.45

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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.