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Finding the Fourth Proportional to 305,631, 458,630.82 and 130,527

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Solution

The fourth proportional to 305,631, 458,630.82 and 130,527 is: 195,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,631 : 458,630.82 = 130,527 : x
  2. Step 2: Convert to fraction form
    305,631/458,630.82 = 130,527/x
  3. Step 3: Cross multiply
    305,631x = 458,630.82 × 130,527
  4. Step 4: Simplify right side
    305,631x = 59,863,705,042.14
  5. Step 5: Solve for x
    x = 59,863,705,042.14/305,631
  6. Step 6: Final answer
    x = 195,869.22

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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.