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Finding the Fourth Proportional to 496,589.50, 745,031.13 and 286,378.30

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Solution

The fourth proportional to 496,589.50, 745,031.13 and 286,378.30 is: 429,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,589.50 : 745,031.13 = 286,378.30 : x
  2. Step 2: Convert to fraction form
    496,589.50/745,031.13 = 286,378.30/x
  3. Step 3: Cross multiply
    496,589.50x = 745,031.13 × 286,378.30
  4. Step 4: Simplify right side
    496,589.50x = 213,360,748,456.48
  5. Step 5: Solve for x
    x = 213,360,748,456.48/496,589.50
  6. Step 6: Final answer
    x = 429,652.15

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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.