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Finding the Fourth Proportional to 360,454.90, 497,407.70 and 199,300.28

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Solution

The fourth proportional to 360,454.90, 497,407.70 and 199,300.28 is: 275,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,454.90 : 497,407.70 = 199,300.28 : x
  2. Step 2: Convert to fraction form
    360,454.90/497,407.70 = 199,300.28/x
  3. Step 3: Cross multiply
    360,454.90x = 497,407.70 × 199,300.28
  4. Step 4: Simplify right side
    360,454.90x = 99,133,493,884.16
  5. Step 5: Solve for x
    x = 99,133,493,884.16/360,454.90
  6. Step 6: Final answer
    x = 275,023.29

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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.