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Finding the Fourth Proportional to 286,680.80, 429,859.20 and 109,193.60

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Solution

The fourth proportional to 286,680.80, 429,859.20 and 109,193.60 is: 163,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,680.80 : 429,859.20 = 109,193.60 : x
  2. Step 2: Convert to fraction form
    286,680.80/429,859.20 = 109,193.60/x
  3. Step 3: Cross multiply
    286,680.80x = 429,859.20 × 109,193.60
  4. Step 4: Simplify right side
    286,680.80x = 46,937,873,541.12
  5. Step 5: Solve for x
    x = 46,937,873,541.12/286,680.80
  6. Step 6: Final answer
    x = 163,728.70

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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.