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Finding the Fourth Proportional to 286,341.80, 429,512.70 and 146,082.20

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Solution

The fourth proportional to 286,341.80, 429,512.70 and 146,082.20 is: 219,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,341.80 : 429,512.70 = 146,082.20 : x
  2. Step 2: Convert to fraction form
    286,341.80/429,512.70 = 146,082.20/x
  3. Step 3: Cross multiply
    286,341.80x = 429,512.70 × 146,082.20
  4. Step 4: Simplify right side
    286,341.80x = 62,744,160,143.94
  5. Step 5: Solve for x
    x = 62,744,160,143.94/286,341.80
  6. Step 6: Final answer
    x = 219,123.30

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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.