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Finding the Fourth Proportional to 286,517.98, 429,339.21 and 120,215.26

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Solution

The fourth proportional to 286,517.98, 429,339.21 and 120,215.26 is: 180,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,517.98 : 429,339.21 = 120,215.26 : x
  2. Step 2: Convert to fraction form
    286,517.98/429,339.21 = 120,215.26/x
  3. Step 3: Cross multiply
    286,517.98x = 429,339.21 × 120,215.26
  4. Step 4: Simplify right side
    286,517.98x = 51,613,124,758.34
  5. Step 5: Solve for x
    x = 51,613,124,758.34/286,517.98
  6. Step 6: Final answer
    x = 180,139.22

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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.