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Finding the Fourth Proportional to 465,442.40, 698,228.40 and 199,200.80

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Solution

The fourth proportional to 465,442.40, 698,228.40 and 199,200.80 is: 298,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,442.40 : 698,228.40 = 199,200.80 : x
  2. Step 2: Convert to fraction form
    465,442.40/698,228.40 = 199,200.80/x
  3. Step 3: Cross multiply
    465,442.40x = 698,228.40 × 199,200.80
  4. Step 4: Simplify right side
    465,442.40x = 139,087,655,862.72
  5. Step 5: Solve for x
    x = 139,087,655,862.72/465,442.40
  6. Step 6: Final answer
    x = 298,828.93

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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.