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Finding the Fourth Proportional to 385,429.58, 577,812.11 and 148,938.20

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Solution

The fourth proportional to 385,429.58, 577,812.11 and 148,938.20 is: 223,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,429.58 : 577,812.11 = 148,938.20 : x
  2. Step 2: Convert to fraction form
    385,429.58/577,812.11 = 148,938.20/x
  3. Step 3: Cross multiply
    385,429.58x = 577,812.11 × 148,938.20
  4. Step 4: Simplify right side
    385,429.58x = 86,058,295,601.60
  5. Step 5: Solve for x
    x = 86,058,295,601.60/385,429.58
  6. Step 6: Final answer
    x = 223,278.91

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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.