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Finding the Fourth Proportional to 312,472.48, 468,730.64 and 125,484

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Solution

The fourth proportional to 312,472.48, 468,730.64 and 125,484 is: 188,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,472.48 : 468,730.64 = 125,484 : x
  2. Step 2: Convert to fraction form
    312,472.48/468,730.64 = 125,484/x
  3. Step 3: Cross multiply
    312,472.48x = 468,730.64 × 125,484
  4. Step 4: Simplify right side
    312,472.48x = 58,818,195,629.76
  5. Step 5: Solve for x
    x = 58,818,195,629.76/312,472.48
  6. Step 6: Final answer
    x = 188,234.80

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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.