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Finding the Fourth Proportional to 553,122.68, 763,323.65 and 311,413.97

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Solution

The fourth proportional to 553,122.68, 763,323.65 and 311,413.97 is: 429,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,122.68 : 763,323.65 = 311,413.97 : x
  2. Step 2: Convert to fraction form
    553,122.68/763,323.65 = 311,413.97/x
  3. Step 3: Cross multiply
    553,122.68x = 763,323.65 × 311,413.97
  4. Step 4: Simplify right side
    553,122.68x = 237,709,645,466.74
  5. Step 5: Solve for x
    x = 237,709,645,466.74/553,122.68
  6. Step 6: Final answer
    x = 429,759.36

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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.