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Finding the Fourth Proportional to 549,534.60, 823,265.10 and 512,209.80

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Solution

The fourth proportional to 549,534.60, 823,265.10 and 512,209.80 is: 767,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,534.60 : 823,265.10 = 512,209.80 : x
  2. Step 2: Convert to fraction form
    549,534.60/823,265.10 = 512,209.80/x
  3. Step 3: Cross multiply
    549,534.60x = 823,265.10 × 512,209.80
  4. Step 4: Simplify right side
    549,534.60x = 421,684,452,217.98
  5. Step 5: Solve for x
    x = 421,684,452,217.98/549,534.60
  6. Step 6: Final answer
    x = 767,348.32

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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.