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Finding the Fourth Proportional to 508,823.88, 702,149.40 and 282,454.80

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Solution

The fourth proportional to 508,823.88, 702,149.40 and 282,454.80 is: 389,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,823.88 : 702,149.40 = 282,454.80 : x
  2. Step 2: Convert to fraction form
    508,823.88/702,149.40 = 282,454.80/x
  3. Step 3: Cross multiply
    508,823.88x = 702,149.40 × 282,454.80
  4. Step 4: Simplify right side
    508,823.88x = 198,325,468,347.12
  5. Step 5: Solve for x
    x = 198,325,468,347.12/508,823.88
  6. Step 6: Final answer
    x = 389,772.33

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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.