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Finding the Fourth Proportional to 360,643.32, 497,677.77 and 199,505.16

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Solution

The fourth proportional to 360,643.32, 497,677.77 and 199,505.16 is: 275,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,643.32 : 497,677.77 = 199,505.16 : x
  2. Step 2: Convert to fraction form
    360,643.32/497,677.77 = 199,505.16/x
  3. Step 3: Cross multiply
    360,643.32x = 497,677.77 × 199,505.16
  4. Step 4: Simplify right side
    360,643.32x = 99,289,283,132.29
  5. Step 5: Solve for x
    x = 99,289,283,132.29/360,643.32
  6. Step 6: Final answer
    x = 275,311.58

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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.