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Finding the Fourth Proportional to 218,854.32, 328,281.48 and 52,642.32

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Solution

The fourth proportional to 218,854.32, 328,281.48 and 52,642.32 is: 78,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,854.32 : 328,281.48 = 52,642.32 : x
  2. Step 2: Convert to fraction form
    218,854.32/328,281.48 = 52,642.32/x
  3. Step 3: Cross multiply
    218,854.32x = 328,281.48 × 52,642.32
  4. Step 4: Simplify right side
    218,854.32x = 17,281,498,720.23
  5. Step 5: Solve for x
    x = 17,281,498,720.23/218,854.32
  6. Step 6: Final answer
    x = 78,963.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.