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Finding the Fourth Proportional to 312,955.29, 469,413.48 and 99,717.93

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Solution

The fourth proportional to 312,955.29, 469,413.48 and 99,717.93 is: 149,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,955.29 : 469,413.48 = 99,717.93 : x
  2. Step 2: Convert to fraction form
    312,955.29/469,413.48 = 99,717.93/x
  3. Step 3: Cross multiply
    312,955.29x = 469,413.48 × 99,717.93
  4. Step 4: Simplify right side
    312,955.29x = 46,808,940,539.70
  5. Step 5: Solve for x
    x = 46,808,940,539.70/312,955.29
  6. Step 6: Final answer
    x = 149,570.70

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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.