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Finding the Fourth Proportional to 458,866.80, 686,917.80 and 409,100.40

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Solution

The fourth proportional to 458,866.80, 686,917.80 and 409,100.40 is: 612,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,866.80 : 686,917.80 = 409,100.40 : x
  2. Step 2: Convert to fraction form
    458,866.80/686,917.80 = 409,100.40/x
  3. Step 3: Cross multiply
    458,866.80x = 686,917.80 × 409,100.40
  4. Step 4: Simplify right side
    458,866.80x = 281,018,346,747.12
  5. Step 5: Solve for x
    x = 281,018,346,747.12/458,866.80
  6. Step 6: Final answer
    x = 612,418.13

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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.