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Finding the Fourth Proportional to 385,062.58, 577,692.27 and 148,341.78

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Solution

The fourth proportional to 385,062.58, 577,692.27 and 148,341.78 is: 222,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,062.58 : 577,692.27 = 148,341.78 : x
  2. Step 2: Convert to fraction form
    385,062.58/577,692.27 = 148,341.78/x
  3. Step 3: Cross multiply
    385,062.58x = 577,692.27 × 148,341.78
  4. Step 4: Simplify right side
    385,062.58x = 85,695,899,624.04
  5. Step 5: Solve for x
    x = 85,695,899,624.04/385,062.58
  6. Step 6: Final answer
    x = 222,550.58

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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.