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Finding the Fourth Proportional to 385,401.60, 578,102.40 and 252,691.20

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Solution

The fourth proportional to 385,401.60, 578,102.40 and 252,691.20 is: 379,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,401.60 : 578,102.40 = 252,691.20 : x
  2. Step 2: Convert to fraction form
    385,401.60/578,102.40 = 252,691.20/x
  3. Step 3: Cross multiply
    385,401.60x = 578,102.40 × 252,691.20
  4. Step 4: Simplify right side
    385,401.60x = 146,081,389,178.88
  5. Step 5: Solve for x
    x = 146,081,389,178.88/385,401.60
  6. Step 6: Final answer
    x = 379,036.80

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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.