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Finding the Fourth Proportional to 458,835.79, 688,352.10 and 192,442.79

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Solution

The fourth proportional to 458,835.79, 688,352.10 and 192,442.79 is: 288,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,835.79 : 688,352.10 = 192,442.79 : x
  2. Step 2: Convert to fraction form
    458,835.79/688,352.10 = 192,442.79/x
  3. Step 3: Cross multiply
    458,835.79x = 688,352.10 × 192,442.79
  4. Step 4: Simplify right side
    458,835.79x = 132,468,396,294.84
  5. Step 5: Solve for x
    x = 132,468,396,294.84/458,835.79
  6. Step 6: Final answer
    x = 288,705.46

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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.