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Finding the Fourth Proportional to 286,147.68, 429,642.84 and 160,035

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Solution

The fourth proportional to 286,147.68, 429,642.84 and 160,035 is: 240,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,147.68 : 429,642.84 = 160,035 : x
  2. Step 2: Convert to fraction form
    286,147.68/429,642.84 = 160,035/x
  3. Step 3: Cross multiply
    286,147.68x = 429,642.84 × 160,035
  4. Step 4: Simplify right side
    286,147.68x = 68,757,891,899.40
  5. Step 5: Solve for x
    x = 68,757,891,899.40/286,147.68
  6. Step 6: Final answer
    x = 240,288.13

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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.