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Finding the Fourth Proportional to 385,362.48, 577,295.99 and 283,976.61

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Solution

The fourth proportional to 385,362.48, 577,295.99 and 283,976.61 is: 425,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,362.48 : 577,295.99 = 283,976.61 : x
  2. Step 2: Convert to fraction form
    385,362.48/577,295.99 = 283,976.61/x
  3. Step 3: Cross multiply
    385,362.48x = 577,295.99 × 283,976.61
  4. Step 4: Simplify right side
    385,362.48x = 163,938,555,686.96
  5. Step 5: Solve for x
    x = 163,938,555,686.96/385,362.48
  6. Step 6: Final answer
    x = 425,413.90

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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.