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Finding the Fourth Proportional to 543,642.20, 815,463.30 and 342,875.60

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Solution

The fourth proportional to 543,642.20, 815,463.30 and 342,875.60 is: 514,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,642.20 : 815,463.30 = 342,875.60 : x
  2. Step 2: Convert to fraction form
    543,642.20/815,463.30 = 342,875.60/x
  3. Step 3: Cross multiply
    543,642.20x = 815,463.30 × 342,875.60
  4. Step 4: Simplify right side
    543,642.20x = 279,602,468,265.48
  5. Step 5: Solve for x
    x = 279,602,468,265.48/543,642.20
  6. Step 6: Final answer
    x = 514,313.40

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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.