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Finding the Fourth Proportional to 286,869.20, 430,246.20 and 137,109.20

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Solution

The fourth proportional to 286,869.20, 430,246.20 and 137,109.20 is: 205,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,869.20 : 430,246.20 = 137,109.20 : x
  2. Step 2: Convert to fraction form
    286,869.20/430,246.20 = 137,109.20/x
  3. Step 3: Cross multiply
    286,869.20x = 430,246.20 × 137,109.20
  4. Step 4: Simplify right side
    286,869.20x = 58,990,712,285.04
  5. Step 5: Solve for x
    x = 58,990,712,285.04/286,869.20
  6. Step 6: Final answer
    x = 205,636.27

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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.