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Finding the Fourth Proportional to 288,465.53, 398,080.25 and 159,412.70

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Solution

The fourth proportional to 288,465.53, 398,080.25 and 159,412.70 is: 219,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,465.53 : 398,080.25 = 159,412.70 : x
  2. Step 2: Convert to fraction form
    288,465.53/398,080.25 = 159,412.70/x
  3. Step 3: Cross multiply
    288,465.53x = 398,080.25 × 159,412.70
  4. Step 4: Simplify right side
    288,465.53x = 63,459,046,672.11
  5. Step 5: Solve for x
    x = 63,459,046,672.11/288,465.53
  6. Step 6: Final answer
    x = 219,988.32

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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.