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Finding the Fourth Proportional to 288,658.72, 398,342.14 and 161,346.16

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Solution

The fourth proportional to 288,658.72, 398,342.14 and 161,346.16 is: 222,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,658.72 : 398,342.14 = 161,346.16 : x
  2. Step 2: Convert to fraction form
    288,658.72/398,342.14 = 161,346.16/x
  3. Step 3: Cross multiply
    288,658.72x = 398,342.14 × 161,346.16
  4. Step 4: Simplify right side
    288,658.72x = 64,270,974,655.18
  5. Step 5: Solve for x
    x = 64,270,974,655.18/288,658.72
  6. Step 6: Final answer
    x = 222,653.85

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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.