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Finding the Fourth Proportional to 288,002.66, 397,443.92 and 160,678.30

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Solution

The fourth proportional to 288,002.66, 397,443.92 and 160,678.30 is: 221,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,002.66 : 397,443.92 = 160,678.30 : x
  2. Step 2: Convert to fraction form
    288,002.66/397,443.92 = 160,678.30/x
  3. Step 3: Cross multiply
    288,002.66x = 397,443.92 × 160,678.30
  4. Step 4: Simplify right side
    288,002.66x = 63,860,613,410.94
  5. Step 5: Solve for x
    x = 63,860,613,410.94/288,002.66
  6. Step 6: Final answer
    x = 221,736.19

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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.