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Finding the Fourth Proportional to 281,671.20, 388,721.16 and 154,352.16

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Solution

The fourth proportional to 281,671.20, 388,721.16 and 154,352.16 is: 213,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,671.20 : 388,721.16 = 154,352.16 : x
  2. Step 2: Convert to fraction form
    281,671.20/388,721.16 = 154,352.16/x
  3. Step 3: Cross multiply
    281,671.20x = 388,721.16 × 154,352.16
  4. Step 4: Simplify right side
    281,671.20x = 59,999,950,683.71
  5. Step 5: Solve for x
    x = 59,999,950,683.71/281,671.20
  6. Step 6: Final answer
    x = 213,014.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.