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Finding the Fourth Proportional to 458,661.90, 687,409.65 and 408,506.70

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Solution

The fourth proportional to 458,661.90, 687,409.65 and 408,506.70 is: 612,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,661.90 : 687,409.65 = 408,506.70 : x
  2. Step 2: Convert to fraction form
    458,661.90/687,409.65 = 408,506.70/x
  3. Step 3: Cross multiply
    458,661.90x = 687,409.65 × 408,506.70
  4. Step 4: Simplify right side
    458,661.90x = 280,811,447,669.66
  5. Step 5: Solve for x
    x = 280,811,447,669.66/458,661.90
  6. Step 6: Final answer
    x = 612,240.62

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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.