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Finding the Fourth Proportional to 360,550, 497,539.42 and 199,395.64

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Solution

The fourth proportional to 360,550, 497,539.42 and 199,395.64 is: 275,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,550 : 497,539.42 = 199,395.64 : x
  2. Step 2: Convert to fraction form
    360,550/497,539.42 = 199,395.64/x
  3. Step 3: Cross multiply
    360,550x = 497,539.42 × 199,395.64
  4. Step 4: Simplify right side
    360,550x = 99,207,191,076.13
  5. Step 5: Solve for x
    x = 99,207,191,076.13/360,550
  6. Step 6: Final answer
    x = 275,155.15

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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.