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Finding the Fourth Proportional to 458,811.20, 688,216.80 and 451,812.80

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Solution

The fourth proportional to 458,811.20, 688,216.80 and 451,812.80 is: 677,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,811.20 : 688,216.80 = 451,812.80 : x
  2. Step 2: Convert to fraction form
    458,811.20/688,216.80 = 451,812.80/x
  3. Step 3: Cross multiply
    458,811.20x = 688,216.80 × 451,812.80
  4. Step 4: Simplify right side
    458,811.20x = 310,945,159,415.04
  5. Step 5: Solve for x
    x = 310,945,159,415.04/458,811.20
  6. Step 6: Final answer
    x = 677,719.20

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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.