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Finding the Fourth Proportional to 381,446.58, 572,546.52 and 286,346.10

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Solution

The fourth proportional to 381,446.58, 572,546.52 and 286,346.10 is: 429,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,446.58 : 572,546.52 = 286,346.10 : x
  2. Step 2: Convert to fraction form
    381,446.58/572,546.52 = 286,346.10/x
  3. Step 3: Cross multiply
    381,446.58x = 572,546.52 × 286,346.10
  4. Step 4: Simplify right side
    381,446.58x = 163,946,463,070.57
  5. Step 5: Solve for x
    x = 163,946,463,070.57/381,446.58
  6. Step 6: Final answer
    x = 429,801.90

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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.