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Finding the Fourth Proportional to 287,993.60, 397,423.50 and 160,665.92

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Solution

The fourth proportional to 287,993.60, 397,423.50 and 160,665.92 is: 221,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,993.60 : 397,423.50 = 160,665.92 : x
  2. Step 2: Convert to fraction form
    287,993.60/397,423.50 = 160,665.92/x
  3. Step 3: Cross multiply
    287,993.60x = 397,423.50 × 160,665.92
  4. Step 4: Simplify right side
    287,993.60x = 63,852,412,257.12
  5. Step 5: Solve for x
    x = 63,852,412,257.12/287,993.60
  6. Step 6: Final answer
    x = 221,714.69

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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.