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Finding the Fourth Proportional to 343,129.46, 514,762.91 and 118,498.10

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Solution

The fourth proportional to 343,129.46, 514,762.91 and 118,498.10 is: 177,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,129.46 : 514,762.91 = 118,498.10 : x
  2. Step 2: Convert to fraction form
    343,129.46/514,762.91 = 118,498.10/x
  3. Step 3: Cross multiply
    343,129.46x = 514,762.91 × 118,498.10
  4. Step 4: Simplify right side
    343,129.46x = 60,998,426,192.98
  5. Step 5: Solve for x
    x = 60,998,426,192.98/343,129.46
  6. Step 6: Final answer
    x = 177,770.88

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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.