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Finding the Fourth Proportional to 287,734.32, 397,069.02 and 160,406.64

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Solution

The fourth proportional to 287,734.32, 397,069.02 and 160,406.64 is: 221,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,734.32 : 397,069.02 = 160,406.64 : x
  2. Step 2: Convert to fraction form
    287,734.32/397,069.02 = 160,406.64/x
  3. Step 3: Cross multiply
    287,734.32x = 397,069.02 × 160,406.64
  4. Step 4: Simplify right side
    287,734.32x = 63,692,507,346.29
  5. Step 5: Solve for x
    x = 63,692,507,346.29/287,734.32
  6. Step 6: Final answer
    x = 221,358.74

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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.