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Finding the Fourth Proportional to 543,715.72, 816,071.70 and 291,281.20

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Solution

The fourth proportional to 543,715.72, 816,071.70 and 291,281.20 is: 437,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,715.72 : 816,071.70 = 291,281.20 : x
  2. Step 2: Convert to fraction form
    543,715.72/816,071.70 = 291,281.20/x
  3. Step 3: Cross multiply
    543,715.72x = 816,071.70 × 291,281.20
  4. Step 4: Simplify right side
    543,715.72x = 237,706,344,062.04
  5. Step 5: Solve for x
    x = 237,706,344,062.04/543,715.72
  6. Step 6: Final answer
    x = 437,188.65

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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.