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Finding the Fourth Proportional to 408,680.49, 612,995.80 and 152,463.72

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Solution

The fourth proportional to 408,680.49, 612,995.80 and 152,463.72 is: 228,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,680.49 : 612,995.80 = 152,463.72 : x
  2. Step 2: Convert to fraction form
    408,680.49/612,995.80 = 152,463.72/x
  3. Step 3: Cross multiply
    408,680.49x = 612,995.80 × 152,463.72
  4. Step 4: Simplify right side
    408,680.49x = 93,459,620,012.38
  5. Step 5: Solve for x
    x = 93,459,620,012.38/408,680.49
  6. Step 6: Final answer
    x = 228,686.28

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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.