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Finding the Fourth Proportional to 340,413.30, 510,619.95 and 312,419.70

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Solution

The fourth proportional to 340,413.30, 510,619.95 and 312,419.70 is: 468,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,413.30 : 510,619.95 = 312,419.70 : x
  2. Step 2: Convert to fraction form
    340,413.30/510,619.95 = 312,419.70/x
  3. Step 3: Cross multiply
    340,413.30x = 510,619.95 × 312,419.70
  4. Step 4: Simplify right side
    340,413.30x = 159,527,731,593.02
  5. Step 5: Solve for x
    x = 159,527,731,593.02/340,413.30
  6. Step 6: Final answer
    x = 468,629.55

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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.