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Finding the Fourth Proportional to 286,902.20, 430,295.70 and 137,142.20

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Solution

The fourth proportional to 286,902.20, 430,295.70 and 137,142.20 is: 205,685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,902.20 : 430,295.70 = 137,142.20 : x
  2. Step 2: Convert to fraction form
    286,902.20/430,295.70 = 137,142.20/x
  3. Step 3: Cross multiply
    286,902.20x = 430,295.70 × 137,142.20
  4. Step 4: Simplify right side
    286,902.20x = 59,011,698,948.54
  5. Step 5: Solve for x
    x = 59,011,698,948.54/286,902.20
  6. Step 6: Final answer
    x = 205,685.77

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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.