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Finding the Fourth Proportional to 385,957.80, 578,959.44 and 149,301.72

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Solution

The fourth proportional to 385,957.80, 578,959.44 and 149,301.72 is: 223,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,957.80 : 578,959.44 = 149,301.72 : x
  2. Step 2: Convert to fraction form
    385,957.80/578,959.44 = 149,301.72/x
  3. Step 3: Cross multiply
    385,957.80x = 578,959.44 × 149,301.72
  4. Step 4: Simplify right side
    385,957.80x = 86,439,640,202.24
  5. Step 5: Solve for x
    x = 86,439,640,202.24/385,957.80
  6. Step 6: Final answer
    x = 223,961.38

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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.