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Finding the Fourth Proportional to 385,257.20, 577,885.80 and 100,947.20

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Solution

The fourth proportional to 385,257.20, 577,885.80 and 100,947.20 is: 151,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,257.20 : 577,885.80 = 100,947.20 : x
  2. Step 2: Convert to fraction form
    385,257.20/577,885.80 = 100,947.20/x
  3. Step 3: Cross multiply
    385,257.20x = 577,885.80 × 100,947.20
  4. Step 4: Simplify right side
    385,257.20x = 58,335,953,429.76
  5. Step 5: Solve for x
    x = 58,335,953,429.76/385,257.20
  6. Step 6: Final answer
    x = 151,420.80

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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.