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Finding the Fourth Proportional to 512,472.76, 707,182.70 and 286,132.60

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Solution

The fourth proportional to 512,472.76, 707,182.70 and 286,132.60 is: 394,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,472.76 : 707,182.70 = 286,132.60 : x
  2. Step 2: Convert to fraction form
    512,472.76/707,182.70 = 286,132.60/x
  3. Step 3: Cross multiply
    512,472.76x = 707,182.70 × 286,132.60
  4. Step 4: Simplify right side
    512,472.76x = 202,348,024,626.02
  5. Step 5: Solve for x
    x = 202,348,024,626.02/512,472.76
  6. Step 6: Final answer
    x = 394,846.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.