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Finding the Fourth Proportional to 642,406.16, 886,508.96 and 355,920.50

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Solution

The fourth proportional to 642,406.16, 886,508.96 and 355,920.50 is: 491,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,406.16 : 886,508.96 = 355,920.50 : x
  2. Step 2: Convert to fraction form
    642,406.16/886,508.96 = 355,920.50/x
  3. Step 3: Cross multiply
    642,406.16x = 886,508.96 × 355,920.50
  4. Step 4: Simplify right side
    642,406.16x = 315,526,712,297.68
  5. Step 5: Solve for x
    x = 315,526,712,297.68/642,406.16
  6. Step 6: Final answer
    x = 491,163.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.