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Finding the Fourth Proportional to 381,421.46, 572,113.70 and 141,582.12

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Solution

The fourth proportional to 381,421.46, 572,113.70 and 141,582.12 is: 212,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,421.46 : 572,113.70 = 141,582.12 : x
  2. Step 2: Convert to fraction form
    381,421.46/572,113.70 = 141,582.12/x
  3. Step 3: Cross multiply
    381,421.46x = 572,113.70 × 141,582.12
  4. Step 4: Simplify right side
    381,421.46x = 81,001,070,527.04
  5. Step 5: Solve for x
    x = 81,001,070,527.04/381,421.46
  6. Step 6: Final answer
    x = 212,366.32

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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.