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Finding the Fourth Proportional to 286,279.92, 429,435.52 and 86,595.44

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Solution

The fourth proportional to 286,279.92, 429,435.52 and 86,595.44 is: 129,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,279.92 : 429,435.52 = 86,595.44 : x
  2. Step 2: Convert to fraction form
    286,279.92/429,435.52 = 86,595.44/x
  3. Step 3: Cross multiply
    286,279.92x = 429,435.52 × 86,595.44
  4. Step 4: Simplify right side
    286,279.92x = 37,187,157,806.03
  5. Step 5: Solve for x
    x = 37,187,157,806.03/286,279.92
  6. Step 6: Final answer
    x = 129,897.89

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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.