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Finding the Fourth Proportional to 458,834.56, 687,984 and 178,023.76

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Solution

The fourth proportional to 458,834.56, 687,984 and 178,023.76 is: 266,931.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,834.56 : 687,984 = 178,023.76 : x
  2. Step 2: Convert to fraction form
    458,834.56/687,984 = 178,023.76/x
  3. Step 3: Cross multiply
    458,834.56x = 687,984 × 178,023.76
  4. Step 4: Simplify right side
    458,834.56x = 122,477,498,499.84
  5. Step 5: Solve for x
    x = 122,477,498,499.84/458,834.56
  6. Step 6: Final answer
    x = 266,931.72

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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.