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Finding the Fourth Proportional to 286,538.70, 429,808.05 and 137,070.92

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Solution

The fourth proportional to 286,538.70, 429,808.05 and 137,070.92 is: 205,606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,538.70 : 429,808.05 = 137,070.92 : x
  2. Step 2: Convert to fraction form
    286,538.70/429,808.05 = 137,070.92/x
  3. Step 3: Cross multiply
    286,538.70x = 429,808.05 × 137,070.92
  4. Step 4: Simplify right side
    286,538.70x = 58,914,184,299.65
  5. Step 5: Solve for x
    x = 58,914,184,299.65/286,538.70
  6. Step 6: Final answer
    x = 205,606.38

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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.