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Finding the Fourth Proportional to 286,998.98, 430,595.35 and 127,052.85

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Solution

The fourth proportional to 286,998.98, 430,595.35 and 127,052.85 is: 190,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,998.98 : 430,595.35 = 127,052.85 : x
  2. Step 2: Convert to fraction form
    286,998.98/430,595.35 = 127,052.85/x
  3. Step 3: Cross multiply
    286,998.98x = 430,595.35 × 127,052.85
  4. Step 4: Simplify right side
    286,998.98x = 54,708,366,414.25
  5. Step 5: Solve for x
    x = 54,708,366,414.25/286,998.98
  6. Step 6: Final answer
    x = 190,622.16

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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.