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Finding the Fourth Proportional to 288,070.29, 397,528.65 and 160,743.15

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Solution

The fourth proportional to 288,070.29, 397,528.65 and 160,743.15 is: 221,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,070.29 : 397,528.65 = 160,743.15 : x
  2. Step 2: Convert to fraction form
    288,070.29/397,528.65 = 160,743.15/x
  3. Step 3: Cross multiply
    288,070.29x = 397,528.65 × 160,743.15
  4. Step 4: Simplify right side
    288,070.29x = 63,900,007,416.25
  5. Step 5: Solve for x
    x = 63,900,007,416.25/288,070.29
  6. Step 6: Final answer
    x = 221,820.89

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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.