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Finding the Fourth Proportional to 512,459.04, 707,029.02 and 286,060.80

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Solution

The fourth proportional to 512,459.04, 707,029.02 and 286,060.80 is: 394,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,459.04 : 707,029.02 = 286,060.80 : x
  2. Step 2: Convert to fraction form
    512,459.04/707,029.02 = 286,060.80/x
  3. Step 3: Cross multiply
    512,459.04x = 707,029.02 × 286,060.80
  4. Step 4: Simplify right side
    512,459.04x = 202,253,287,084.42
  5. Step 5: Solve for x
    x = 202,253,287,084.42/512,459.04
  6. Step 6: Final answer
    x = 394,672.10

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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.