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Finding the Fourth Proportional to 642,715.47, 962,716.95 and 515,667.87

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Solution

The fourth proportional to 642,715.47, 962,716.95 and 515,667.87 is: 772,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,715.47 : 962,716.95 = 515,667.87 : x
  2. Step 2: Convert to fraction form
    642,715.47/962,716.95 = 515,667.87/x
  3. Step 3: Cross multiply
    642,715.47x = 962,716.95 × 515,667.87
  4. Step 4: Simplify right side
    642,715.47x = 496,442,199,019.40
  5. Step 5: Solve for x
    x = 496,442,199,019.40/642,715.47
  6. Step 6: Final answer
    x = 772,413.65

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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.