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Finding the Fourth Proportional to 288,141.64, 397,658 and 160,836.40

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Solution

The fourth proportional to 288,141.64, 397,658 and 160,836.40 is: 221,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,141.64 : 397,658 = 160,836.40 : x
  2. Step 2: Convert to fraction form
    288,141.64/397,658 = 160,836.40/x
  3. Step 3: Cross multiply
    288,141.64x = 397,658 × 160,836.40
  4. Step 4: Simplify right side
    288,141.64x = 63,957,881,151.20
  5. Step 5: Solve for x
    x = 63,957,881,151.20/288,141.64
  6. Step 6: Final answer
    x = 221,966.81

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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.