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Finding the Fourth Proportional to 342,857.76, 514,320.45 and 118,188.61

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Solution

The fourth proportional to 342,857.76, 514,320.45 and 118,188.61 is: 177,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,857.76 : 514,320.45 = 118,188.61 : x
  2. Step 2: Convert to fraction form
    342,857.76/514,320.45 = 118,188.61/x
  3. Step 3: Cross multiply
    342,857.76x = 514,320.45 × 118,188.61
  4. Step 4: Simplify right side
    342,857.76x = 60,786,819,080.07
  5. Step 5: Solve for x
    x = 60,786,819,080.07/342,857.76
  6. Step 6: Final answer
    x = 177,294.57

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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.