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Finding the Fourth Proportional to 286,532.16, 429,797.76 and 76,170.12

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Solution

The fourth proportional to 286,532.16, 429,797.76 and 76,170.12 is: 114,255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,532.16 : 429,797.76 = 76,170.12 : x
  2. Step 2: Convert to fraction form
    286,532.16/429,797.76 = 76,170.12/x
  3. Step 3: Cross multiply
    286,532.16x = 429,797.76 × 76,170.12
  4. Step 4: Simplify right side
    286,532.16x = 32,737,746,954.93
  5. Step 5: Solve for x
    x = 32,737,746,954.93/286,532.16
  6. Step 6: Final answer
    x = 114,255.05

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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.