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Finding the Fourth Proportional to 286,469.96, 429,284.34 and 144,119.57

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Solution

The fourth proportional to 286,469.96, 429,284.34 and 144,119.57 is: 215,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,469.96 : 429,284.34 = 144,119.57 : x
  2. Step 2: Convert to fraction form
    286,469.96/429,284.34 = 144,119.57/x
  3. Step 3: Cross multiply
    286,469.96x = 429,284.34 × 144,119.57
  4. Step 4: Simplify right side
    286,469.96x = 61,868,272,342.11
  5. Step 5: Solve for x
    x = 61,868,272,342.11/286,469.96
  6. Step 6: Final answer
    x = 215,967.75

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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.