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Finding the Fourth Proportional to 357,115.20, 535,672.80 and 146,644.80

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Solution

The fourth proportional to 357,115.20, 535,672.80 and 146,644.80 is: 219,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,115.20 : 535,672.80 = 146,644.80 : x
  2. Step 2: Convert to fraction form
    357,115.20/535,672.80 = 146,644.80/x
  3. Step 3: Cross multiply
    357,115.20x = 535,672.80 × 146,644.80
  4. Step 4: Simplify right side
    357,115.20x = 78,553,630,621.44
  5. Step 5: Solve for x
    x = 78,553,630,621.44/357,115.20
  6. Step 6: Final answer
    x = 219,967.20

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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.