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Finding the Fourth Proportional to 334,354.40, 461,319.81 and 198,275.21

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Solution

The fourth proportional to 334,354.40, 461,319.81 and 198,275.21 is: 273,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,354.40 : 461,319.81 = 198,275.21 : x
  2. Step 2: Convert to fraction form
    334,354.40/461,319.81 = 198,275.21/x
  3. Step 3: Cross multiply
    334,354.40x = 461,319.81 × 198,275.21
  4. Step 4: Simplify right side
    334,354.40x = 91,468,281,213.53
  5. Step 5: Solve for x
    x = 91,468,281,213.53/334,354.40
  6. Step 6: Final answer
    x = 273,566.85

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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.