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Finding the Fourth Proportional to 360,315.66, 497,235.45 and 199,170.78

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Solution

The fourth proportional to 360,315.66, 497,235.45 and 199,170.78 is: 274,855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,315.66 : 497,235.45 = 199,170.78 : x
  2. Step 2: Convert to fraction form
    360,315.66/497,235.45 = 199,170.78/x
  3. Step 3: Cross multiply
    360,315.66x = 497,235.45 × 199,170.78
  4. Step 4: Simplify right side
    360,315.66x = 99,034,772,420.15
  5. Step 5: Solve for x
    x = 99,034,772,420.15/360,315.66
  6. Step 6: Final answer
    x = 274,855.59

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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.