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Finding the Fourth Proportional to 288,304.52, 397,860.10 and 160,980.04

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Solution

The fourth proportional to 288,304.52, 397,860.10 and 160,980.04 is: 222,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,304.52 : 397,860.10 = 160,980.04 : x
  2. Step 2: Convert to fraction form
    288,304.52/397,860.10 = 160,980.04/x
  3. Step 3: Cross multiply
    288,304.52x = 397,860.10 × 160,980.04
  4. Step 4: Simplify right side
    288,304.52x = 64,047,534,812.40
  5. Step 5: Solve for x
    x = 64,047,534,812.40/288,304.52
  6. Step 6: Final answer
    x = 222,152.38

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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.