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Finding the Fourth Proportional to 287,985, 397,418.16 and 160,660.44

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Solution

The fourth proportional to 287,985, 397,418.16 and 160,660.44 is: 221,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,985 : 397,418.16 = 160,660.44 : x
  2. Step 2: Convert to fraction form
    287,985/397,418.16 = 160,660.44/x
  3. Step 3: Cross multiply
    287,985x = 397,418.16 × 160,660.44
  4. Step 4: Simplify right side
    287,985x = 63,849,376,449.59
  5. Step 5: Solve for x
    x = 63,849,376,449.59/287,985
  6. Step 6: Final answer
    x = 221,710.77

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1.5x scale

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.