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Finding the Fourth Proportional to 360,623.66, 497,654.49 and 199,478.57

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Solution

The fourth proportional to 360,623.66, 497,654.49 and 199,478.57 is: 275,277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,623.66 : 497,654.49 = 199,478.57 : x
  2. Step 2: Convert to fraction form
    360,623.66/497,654.49 = 199,478.57/x
  3. Step 3: Cross multiply
    360,623.66x = 497,654.49 × 199,478.57
  4. Step 4: Simplify right side
    360,623.66x = 99,271,403,531.01
  5. Step 5: Solve for x
    x = 99,271,403,531.01/360,623.66
  6. Step 6: Final answer
    x = 275,277.02

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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.