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Finding the Fourth Proportional to 286,624.80, 429,941.40 and 109,141.62

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Solution

The fourth proportional to 286,624.80, 429,941.40 and 109,141.62 is: 163,714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,624.80 : 429,941.40 = 109,141.62 : x
  2. Step 2: Convert to fraction form
    286,624.80/429,941.40 = 109,141.62/x
  3. Step 3: Cross multiply
    286,624.80x = 429,941.40 × 109,141.62
  4. Step 4: Simplify right side
    286,624.80x = 46,924,500,901.07
  5. Step 5: Solve for x
    x = 46,924,500,901.07/286,624.80
  6. Step 6: Final answer
    x = 163,714.03

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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.