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Finding the Fourth Proportional to 286,695.60, 429,913.80 and 128,842.80

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Solution

The fourth proportional to 286,695.60, 429,913.80 and 128,842.80 is: 193,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,695.60 : 429,913.80 = 128,842.80 : x
  2. Step 2: Convert to fraction form
    286,695.60/429,913.80 = 128,842.80/x
  3. Step 3: Cross multiply
    286,695.60x = 429,913.80 × 128,842.80
  4. Step 4: Simplify right side
    286,695.60x = 55,391,297,750.64
  5. Step 5: Solve for x
    x = 55,391,297,750.64/286,695.60
  6. Step 6: Final answer
    x = 193,205.96

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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.