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Finding the Fourth Proportional to 318,807.80, 478,128.66 and 150,283.38

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Solution

The fourth proportional to 318,807.80, 478,128.66 and 150,283.38 is: 225,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,807.80 : 478,128.66 = 150,283.38 : x
  2. Step 2: Convert to fraction form
    318,807.80/478,128.66 = 150,283.38/x
  3. Step 3: Cross multiply
    318,807.80x = 478,128.66 × 150,283.38
  4. Step 4: Simplify right side
    318,807.80x = 71,854,792,329.09
  5. Step 5: Solve for x
    x = 71,854,792,329.09/318,807.80
  6. Step 6: Final answer
    x = 225,385.93

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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.