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Finding the Fourth Proportional to 335,029.20, 502,543.80 and 312,721.80

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Solution

The fourth proportional to 335,029.20, 502,543.80 and 312,721.80 is: 469,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,029.20 : 502,543.80 = 312,721.80 : x
  2. Step 2: Convert to fraction form
    335,029.20/502,543.80 = 312,721.80/x
  3. Step 3: Cross multiply
    335,029.20x = 502,543.80 × 312,721.80
  4. Step 4: Simplify right side
    335,029.20x = 157,156,401,714.84
  5. Step 5: Solve for x
    x = 157,156,401,714.84/335,029.20
  6. Step 6: Final answer
    x = 469,082.70

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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.