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Finding the Fourth Proportional to 285,455.79, 428,182.38 and 72,225.72

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Solution

The fourth proportional to 285,455.79, 428,182.38 and 72,225.72 is: 108,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,455.79 : 428,182.38 = 72,225.72 : x
  2. Step 2: Convert to fraction form
    285,455.79/428,182.38 = 72,225.72/x
  3. Step 3: Cross multiply
    285,455.79x = 428,182.38 × 72,225.72
  4. Step 4: Simplify right side
    285,455.79x = 30,925,780,686.81
  5. Step 5: Solve for x
    x = 30,925,780,686.81/285,455.79
  6. Step 6: Final answer
    x = 108,338.25

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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.