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Finding the Fourth Proportional to 305,136.40, 457,697.40 and 83,520.40

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Solution

The fourth proportional to 305,136.40, 457,697.40 and 83,520.40 is: 125,278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,136.40 : 457,697.40 = 83,520.40 : x
  2. Step 2: Convert to fraction form
    305,136.40/457,697.40 = 83,520.40/x
  3. Step 3: Cross multiply
    305,136.40x = 457,697.40 × 83,520.40
  4. Step 4: Simplify right side
    305,136.40x = 38,227,069,926.96
  5. Step 5: Solve for x
    x = 38,227,069,926.96/305,136.40
  6. Step 6: Final answer
    x = 125,278.63

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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.