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Finding the Fourth Proportional to 286,151.68, 429,648.84 and 160,039

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Solution

The fourth proportional to 286,151.68, 429,648.84 and 160,039 is: 240,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,151.68 : 429,648.84 = 160,039 : x
  2. Step 2: Convert to fraction form
    286,151.68/429,648.84 = 160,039/x
  3. Step 3: Cross multiply
    286,151.68x = 429,648.84 × 160,039
  4. Step 4: Simplify right side
    286,151.68x = 68,760,570,704.76
  5. Step 5: Solve for x
    x = 68,760,570,704.76/286,151.68
  6. Step 6: Final answer
    x = 240,294.14

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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.