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Finding the Fourth Proportional to 287,774.80, 397,133.64 and 160,446.16

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Solution

The fourth proportional to 287,774.80, 397,133.64 and 160,446.16 is: 221,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,774.80 : 397,133.64 = 160,446.16 : x
  2. Step 2: Convert to fraction form
    287,774.80/397,133.64 = 160,446.16/x
  3. Step 3: Cross multiply
    287,774.80x = 397,133.64 × 160,446.16
  4. Step 4: Simplify right side
    287,774.80x = 63,718,567,544.82
  5. Step 5: Solve for x
    x = 63,718,567,544.82/287,774.80
  6. Step 6: Final answer
    x = 221,418.16

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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.