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Finding the Fourth Proportional to 534,707.80, 801,413.70 and 309,635.80

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Solution

The fourth proportional to 534,707.80, 801,413.70 and 309,635.80 is: 464,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,707.80 : 801,413.70 = 309,635.80 : x
  2. Step 2: Convert to fraction form
    534,707.80/801,413.70 = 309,635.80/x
  3. Step 3: Cross multiply
    534,707.80x = 801,413.70 × 309,635.80
  4. Step 4: Simplify right side
    534,707.80x = 248,146,372,130.46
  5. Step 5: Solve for x
    x = 248,146,372,130.46/534,707.80
  6. Step 6: Final answer
    x = 464,078.46

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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.