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Finding the Fourth Proportional to 343,046.96, 514,320.75 and 143,423.98

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Solution

The fourth proportional to 343,046.96, 514,320.75 and 143,423.98 is: 215,031.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,046.96 : 514,320.75 = 143,423.98 : x
  2. Step 2: Convert to fraction form
    343,046.96/514,320.75 = 143,423.98/x
  3. Step 3: Cross multiply
    343,046.96x = 514,320.75 × 143,423.98
  4. Step 4: Simplify right side
    343,046.96x = 73,765,927,675.78
  5. Step 5: Solve for x
    x = 73,765,927,675.78/343,046.96
  6. Step 6: Final answer
    x = 215,031.57

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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.