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Finding the Fourth Proportional to 285,501.47, 428,219.08 and 75,155.81

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Solution

The fourth proportional to 285,501.47, 428,219.08 and 75,155.81 is: 112,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,501.47 : 428,219.08 = 75,155.81 : x
  2. Step 2: Convert to fraction form
    285,501.47/428,219.08 = 75,155.81/x
  3. Step 3: Cross multiply
    285,501.47x = 428,219.08 × 75,155.81
  4. Step 4: Simplify right side
    285,501.47x = 32,183,149,485.87
  5. Step 5: Solve for x
    x = 32,183,149,485.87/285,501.47
  6. Step 6: Final answer
    x = 112,724.99

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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.