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Finding the Fourth Proportional to 287,992.90, 397,429.14 and 160,672.24

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Solution

The fourth proportional to 287,992.90, 397,429.14 and 160,672.24 is: 221,727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,992.90 : 397,429.14 = 160,672.24 : x
  2. Step 2: Convert to fraction form
    287,992.90/397,429.14 = 160,672.24/x
  3. Step 3: Cross multiply
    287,992.90x = 397,429.14 × 160,672.24
  4. Step 4: Simplify right side
    287,992.90x = 63,855,830,165.07
  5. Step 5: Solve for x
    x = 63,855,830,165.07/287,992.90
  6. Step 6: Final answer
    x = 221,727.10

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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.