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Finding the Fourth Proportional to 458,216.76, 687,543.84 and 221,427.84

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Solution

The fourth proportional to 458,216.76, 687,543.84 and 221,427.84 is: 332,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,216.76 : 687,543.84 = 221,427.84 : x
  2. Step 2: Convert to fraction form
    458,216.76/687,543.84 = 221,427.84/x
  3. Step 3: Cross multiply
    458,216.76x = 687,543.84 × 221,427.84
  4. Step 4: Simplify right side
    458,216.76x = 152,241,347,396.51
  5. Step 5: Solve for x
    x = 152,241,347,396.51/458,216.76
  6. Step 6: Final answer
    x = 332,247.44

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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.