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Finding the Fourth Proportional to 390,413.86, 585,568.95 and 109,952.98

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Solution

The fourth proportional to 390,413.86, 585,568.95 and 109,952.98 is: 164,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,413.86 : 585,568.95 = 109,952.98 : x
  2. Step 2: Convert to fraction form
    390,413.86/585,568.95 = 109,952.98/x
  3. Step 3: Cross multiply
    390,413.86x = 585,568.95 × 109,952.98
  4. Step 4: Simplify right side
    390,413.86x = 64,385,051,047.97
  5. Step 5: Solve for x
    x = 64,385,051,047.97/390,413.86
  6. Step 6: Final answer
    x = 164,914.87

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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.