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Finding the Fourth Proportional to 385,451.73, 578,024.37 and 148,643.37

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Solution

The fourth proportional to 385,451.73, 578,024.37 and 148,643.37 is: 222,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,451.73 : 578,024.37 = 148,643.37 : x
  2. Step 2: Convert to fraction form
    385,451.73/578,024.37 = 148,643.37/x
  3. Step 3: Cross multiply
    385,451.73x = 578,024.37 × 148,643.37
  4. Step 4: Simplify right side
    385,451.73x = 85,919,490,298.93
  5. Step 5: Solve for x
    x = 85,919,490,298.93/385,451.73
  6. Step 6: Final answer
    x = 222,905.97

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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.