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Finding the Fourth Proportional to 343,234.80, 514,838.16 and 143,503.92

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Solution

The fourth proportional to 343,234.80, 514,838.16 and 143,503.92 is: 215,250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,234.80 : 514,838.16 = 143,503.92 : x
  2. Step 2: Convert to fraction form
    343,234.80/514,838.16 = 143,503.92/x
  3. Step 3: Cross multiply
    343,234.80x = 514,838.16 × 143,503.92
  4. Step 4: Simplify right side
    343,234.80x = 73,881,294,125.59
  5. Step 5: Solve for x
    x = 73,881,294,125.59/343,234.80
  6. Step 6: Final answer
    x = 215,250.01

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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.