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Finding the Fourth Proportional to 288,523.55, 432,785.33 and 155,663.30

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Solution

The fourth proportional to 288,523.55, 432,785.33 and 155,663.30 is: 233,494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,523.55 : 432,785.33 = 155,663.30 : x
  2. Step 2: Convert to fraction form
    288,523.55/432,785.33 = 155,663.30/x
  3. Step 3: Cross multiply
    288,523.55x = 432,785.33 × 155,663.30
  4. Step 4: Simplify right side
    288,523.55x = 67,368,792,659.39
  5. Step 5: Solve for x
    x = 67,368,792,659.39/288,523.55
  6. Step 6: Final answer
    x = 233,494.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.