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Finding the Fourth Proportional to 385,202.56, 577,690.82 and 145,143.26

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Solution

The fourth proportional to 385,202.56, 577,690.82 and 145,143.26 is: 217,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,202.56 : 577,690.82 = 145,143.26 : x
  2. Step 2: Convert to fraction form
    385,202.56/577,690.82 = 145,143.26/x
  3. Step 3: Cross multiply
    385,202.56x = 577,690.82 × 145,143.26
  4. Step 4: Simplify right side
    385,202.56x = 83,847,928,886.87
  5. Step 5: Solve for x
    x = 83,847,928,886.87/385,202.56
  6. Step 6: Final answer
    x = 217,672.30

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1.5x scale

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.