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Finding the Fourth Proportional to 351,872.80, 527,809.20 and 313,165.60

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Solution

The fourth proportional to 351,872.80, 527,809.20 and 313,165.60 is: 469,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,872.80 : 527,809.20 = 313,165.60 : x
  2. Step 2: Convert to fraction form
    351,872.80/527,809.20 = 313,165.60/x
  3. Step 3: Cross multiply
    351,872.80x = 527,809.20 × 313,165.60
  4. Step 4: Simplify right side
    351,872.80x = 165,291,684,803.52
  5. Step 5: Solve for x
    x = 165,291,684,803.52/351,872.80
  6. Step 6: Final answer
    x = 469,748.40

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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.