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Finding the Fourth Proportional to 543,710.72, 816,064.26 and 291,276.20

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Solution

The fourth proportional to 543,710.72, 816,064.26 and 291,276.20 is: 437,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,710.72 : 816,064.26 = 291,276.20 : x
  2. Step 2: Convert to fraction form
    543,710.72/816,064.26 = 291,276.20/x
  3. Step 3: Cross multiply
    543,710.72x = 816,064.26 × 291,276.20
  4. Step 4: Simplify right side
    543,710.72x = 237,700,096,608.61
  5. Step 5: Solve for x
    x = 237,700,096,608.61/543,710.72
  6. Step 6: Final answer
    x = 437,181.18

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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.