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Finding the Fourth Proportional to 312,737.32, 469,163.66 and 102,386.92

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Solution

The fourth proportional to 312,737.32, 469,163.66 and 102,386.92 is: 153,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,737.32 : 469,163.66 = 102,386.92 : x
  2. Step 2: Convert to fraction form
    312,737.32/469,163.66 = 102,386.92/x
  3. Step 3: Cross multiply
    312,737.32x = 469,163.66 × 102,386.92
  4. Step 4: Simplify right side
    312,737.32x = 48,036,222,123.33
  5. Step 5: Solve for x
    x = 48,036,222,123.33/312,737.32
  6. Step 6: Final answer
    x = 153,599.26

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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.