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Finding the Fourth Proportional to 286,764.60, 429,272.10 and 255,271.80

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Solution

The fourth proportional to 286,764.60, 429,272.10 and 255,271.80 is: 382,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,764.60 : 429,272.10 = 255,271.80 : x
  2. Step 2: Convert to fraction form
    286,764.60/429,272.10 = 255,271.80/x
  3. Step 3: Cross multiply
    286,764.60x = 429,272.10 × 255,271.80
  4. Step 4: Simplify right side
    286,764.60x = 109,581,061,656.78
  5. Step 5: Solve for x
    x = 109,581,061,656.78/286,764.60
  6. Step 6: Final answer
    x = 382,128.97

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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.