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Finding the Fourth Proportional to 287,677.24, 396,980.16 and 160,328.24

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Solution

The fourth proportional to 287,677.24, 396,980.16 and 160,328.24 is: 221,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,677.24 : 396,980.16 = 160,328.24 : x
  2. Step 2: Convert to fraction form
    287,677.24/396,980.16 = 160,328.24/x
  3. Step 3: Cross multiply
    287,677.24x = 396,980.16 × 160,328.24
  4. Step 4: Simplify right side
    287,677.24x = 63,647,130,367.72
  5. Step 5: Solve for x
    x = 63,647,130,367.72/287,677.24
  6. Step 6: Final answer
    x = 221,244.93

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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.