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Finding the Fourth Proportional to 517,627.27, 714,331.34 and 285,080.32

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Solution

The fourth proportional to 517,627.27, 714,331.34 and 285,080.32 is: 393,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,627.27 : 714,331.34 = 285,080.32 : x
  2. Step 2: Convert to fraction form
    517,627.27/714,331.34 = 285,080.32/x
  3. Step 3: Cross multiply
    517,627.27x = 714,331.34 × 285,080.32
  4. Step 4: Simplify right side
    517,627.27x = 203,641,806,993.23
  5. Step 5: Solve for x
    x = 203,641,806,993.23/517,627.27
  6. Step 6: Final answer
    x = 393,413.98

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1.5x scale

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.