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Finding the Fourth Proportional to 705,817.50, 974,028.15 and 387,865.50

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Solution

The fourth proportional to 705,817.50, 974,028.15 and 387,865.50 is: 535,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,817.50 : 974,028.15 = 387,865.50 : x
  2. Step 2: Convert to fraction form
    705,817.50/974,028.15 = 387,865.50/x
  3. Step 3: Cross multiply
    705,817.50x = 974,028.15 × 387,865.50
  4. Step 4: Simplify right side
    705,817.50x = 377,791,915,413.83
  5. Step 5: Solve for x
    x = 377,791,915,413.83/705,817.50
  6. Step 6: Final answer
    x = 535,254.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.