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Finding the Fourth Proportional to 287,966.95, 397,393.29 and 160,642.44

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Solution

The fourth proportional to 287,966.95, 397,393.29 and 160,642.44 is: 221,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,966.95 : 397,393.29 = 160,642.44 : x
  2. Step 2: Convert to fraction form
    287,966.95/397,393.29 = 160,642.44/x
  3. Step 3: Cross multiply
    287,966.95x = 397,393.29 × 160,642.44
  4. Step 4: Simplify right side
    287,966.95x = 63,838,227,745.23
  5. Step 5: Solve for x
    x = 63,838,227,745.23/287,966.95
  6. Step 6: Final answer
    x = 221,685.95

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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.