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Finding the Fourth Proportional to 385,413.90, 577,386.45 and 207,861.90

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Solution

The fourth proportional to 385,413.90, 577,386.45 and 207,861.90 is: 311,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,413.90 : 577,386.45 = 207,861.90 : x
  2. Step 2: Convert to fraction form
    385,413.90/577,386.45 = 207,861.90/x
  3. Step 3: Cross multiply
    385,413.90x = 577,386.45 × 207,861.90
  4. Step 4: Simplify right side
    385,413.90x = 120,016,644,531.26
  5. Step 5: Solve for x
    x = 120,016,644,531.26/385,413.90
  6. Step 6: Final answer
    x = 311,396.77

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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.