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Finding the Fourth Proportional to 343,132.90, 514,901.55 and 143,437.90

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Solution

The fourth proportional to 343,132.90, 514,901.55 and 143,437.90 is: 215,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,132.90 : 514,901.55 = 143,437.90 : x
  2. Step 2: Convert to fraction form
    343,132.90/514,901.55 = 143,437.90/x
  3. Step 3: Cross multiply
    343,132.90x = 514,901.55 × 143,437.90
  4. Step 4: Simplify right side
    343,132.90x = 73,856,397,038.75
  5. Step 5: Solve for x
    x = 73,856,397,038.75/343,132.90
  6. Step 6: Final answer
    x = 215,241.37

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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.