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Finding the Fourth Proportional to 288,071.64, 397,538.28 and 160,739.64

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Solution

The fourth proportional to 288,071.64, 397,538.28 and 160,739.64 is: 221,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,071.64 : 397,538.28 = 160,739.64 : x
  2. Step 2: Convert to fraction form
    288,071.64/397,538.28 = 160,739.64/x
  3. Step 3: Cross multiply
    288,071.64x = 397,538.28 × 160,739.64
  4. Step 4: Simplify right side
    288,071.64x = 63,900,160,013.42
  5. Step 5: Solve for x
    x = 63,900,160,013.42/288,071.64
  6. Step 6: Final answer
    x = 221,820.38

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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.