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Finding the Fourth Proportional to 386,143.20, 578,869.20 and 149,407.20

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Solution

The fourth proportional to 386,143.20, 578,869.20 and 149,407.20 is: 223,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,143.20 : 578,869.20 = 149,407.20 : x
  2. Step 2: Convert to fraction form
    386,143.20/578,869.20 = 149,407.20/x
  3. Step 3: Cross multiply
    386,143.20x = 578,869.20 × 149,407.20
  4. Step 4: Simplify right side
    386,143.20x = 86,487,226,338.24
  5. Step 5: Solve for x
    x = 86,487,226,338.24/386,143.20
  6. Step 6: Final answer
    x = 223,977.08

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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.