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Finding the Fourth Proportional to 281,484.64, 388,352.28 and 160,538.95

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Solution

The fourth proportional to 281,484.64, 388,352.28 and 160,538.95 is: 221,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,484.64 : 388,352.28 = 160,538.95 : x
  2. Step 2: Convert to fraction form
    281,484.64/388,352.28 = 160,538.95/x
  3. Step 3: Cross multiply
    281,484.64x = 388,352.28 × 160,538.95
  4. Step 4: Simplify right side
    281,484.64x = 62,345,667,261.31
  5. Step 5: Solve for x
    x = 62,345,667,261.31/281,484.64
  6. Step 6: Final answer
    x = 221,488.70

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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.