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Finding the Fourth Proportional to 286,340.13, 429,509.66 and 75,961.53

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Solution

The fourth proportional to 286,340.13, 429,509.66 and 75,961.53 is: 113,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,340.13 : 429,509.66 = 75,961.53 : x
  2. Step 2: Convert to fraction form
    286,340.13/429,509.66 = 75,961.53/x
  3. Step 3: Cross multiply
    286,340.13x = 429,509.66 × 75,961.53
  4. Step 4: Simplify right side
    286,340.13x = 32,626,210,543.57
  5. Step 5: Solve for x
    x = 32,626,210,543.57/286,340.13
  6. Step 6: Final answer
    x = 113,942.15

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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.