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Finding the Fourth Proportional to 385,612.20, 578,331.90 and 253,420.20

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Solution

The fourth proportional to 385,612.20, 578,331.90 and 253,420.20 is: 380,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,612.20 : 578,331.90 = 253,420.20 : x
  2. Step 2: Convert to fraction form
    385,612.20/578,331.90 = 253,420.20/x
  3. Step 3: Cross multiply
    385,612.20x = 578,331.90 × 253,420.20
  4. Step 4: Simplify right side
    385,612.20x = 146,560,985,764.38
  5. Step 5: Solve for x
    x = 146,560,985,764.38/385,612.20
  6. Step 6: Final answer
    x = 380,073.52

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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.