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Finding the Fourth Proportional to 357,448.68, 493,275.96 and 196,306.20

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Solution

The fourth proportional to 357,448.68, 493,275.96 and 196,306.20 is: 270,900.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,448.68 : 493,275.96 = 196,306.20 : x
  2. Step 2: Convert to fraction form
    357,448.68/493,275.96 = 196,306.20/x
  3. Step 3: Cross multiply
    357,448.68x = 493,275.96 × 196,306.20
  4. Step 4: Simplify right side
    357,448.68x = 96,833,129,258.95
  5. Step 5: Solve for x
    x = 96,833,129,258.95/357,448.68
  6. Step 6: Final answer
    x = 270,900.79

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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.