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Finding the Fourth Proportional to 360,448.12, 497,398.32 and 199,293.48

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Solution

The fourth proportional to 360,448.12, 497,398.32 and 199,293.48 is: 275,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,448.12 : 497,398.32 = 199,293.48 : x
  2. Step 2: Convert to fraction form
    360,448.12/497,398.32 = 199,293.48/x
  3. Step 3: Cross multiply
    360,448.12x = 497,398.32 × 199,293.48
  4. Step 4: Simplify right side
    360,448.12x = 99,128,242,138.95
  5. Step 5: Solve for x
    x = 99,128,242,138.95/360,448.12
  6. Step 6: Final answer
    x = 275,013.90

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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.