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Finding the Fourth Proportional to 458,404.80, 687,603.36 and 178,119.36

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Solution

The fourth proportional to 458,404.80, 687,603.36 and 178,119.36 is: 267,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,404.80 : 687,603.36 = 178,119.36 : x
  2. Step 2: Convert to fraction form
    458,404.80/687,603.36 = 178,119.36/x
  3. Step 3: Cross multiply
    458,404.80x = 687,603.36 × 178,119.36
  4. Step 4: Simplify right side
    458,404.80x = 122,475,470,417.05
  5. Step 5: Solve for x
    x = 122,475,470,417.05/458,404.80
  6. Step 6: Final answer
    x = 267,177.55

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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.