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Finding the Fourth Proportional to 287,775.80, 397,135.02 and 160,447.16

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Solution

The fourth proportional to 287,775.80, 397,135.02 and 160,447.16 is: 221,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,775.80 : 397,135.02 = 160,447.16 : x
  2. Step 2: Convert to fraction form
    287,775.80/397,135.02 = 160,447.16/x
  3. Step 3: Cross multiply
    287,775.80x = 397,135.02 × 160,447.16
  4. Step 4: Simplify right side
    287,775.80x = 63,719,186,095.54
  5. Step 5: Solve for x
    x = 63,719,186,095.54/287,775.80
  6. Step 6: Final answer
    x = 221,419.54

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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.