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Finding the Fourth Proportional to 458,576.40, 687,281.40 and 408,421.20

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Solution

The fourth proportional to 458,576.40, 687,281.40 and 408,421.20 is: 612,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,576.40 : 687,281.40 = 408,421.20 : x
  2. Step 2: Convert to fraction form
    458,576.40/687,281.40 = 408,421.20/x
  3. Step 3: Cross multiply
    458,576.40x = 687,281.40 × 408,421.20
  4. Step 4: Simplify right side
    458,576.40x = 280,700,294,125.68
  5. Step 5: Solve for x
    x = 280,700,294,125.68/458,576.40
  6. Step 6: Final answer
    x = 612,112.39

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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.