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Finding the Fourth Proportional to 360,649.12, 497,686.80 and 199,513.12

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Solution

The fourth proportional to 360,649.12, 497,686.80 and 199,513.12 is: 275,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,649.12 : 497,686.80 = 199,513.12 : x
  2. Step 2: Convert to fraction form
    360,649.12/497,686.80 = 199,513.12/x
  3. Step 3: Cross multiply
    360,649.12x = 497,686.80 × 199,513.12
  4. Step 4: Simplify right side
    360,649.12x = 99,295,046,250.82
  5. Step 5: Solve for x
    x = 99,295,046,250.82/360,649.12
  6. Step 6: Final answer
    x = 275,323.13

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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.