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Finding the Fourth Proportional to 610,948.67, 916,545.90 and 211,580.60

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Solution

The fourth proportional to 610,948.67, 916,545.90 and 211,580.60 is: 317,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,948.67 : 916,545.90 = 211,580.60 : x
  2. Step 2: Convert to fraction form
    610,948.67/916,545.90 = 211,580.60/x
  3. Step 3: Cross multiply
    610,948.67x = 916,545.90 × 211,580.60
  4. Step 4: Simplify right side
    610,948.67x = 193,923,331,449.54
  5. Step 5: Solve for x
    x = 193,923,331,449.54/610,948.67
  6. Step 6: Final answer
    x = 317,413.46

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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.