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Finding the Fourth Proportional to 708,708.64, 1,062,881.52 and 209,956

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Solution

The fourth proportional to 708,708.64, 1,062,881.52 and 209,956 is: 314,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,708.64 : 1,062,881.52 = 209,956 : x
  2. Step 2: Convert to fraction form
    708,708.64/1,062,881.52 = 209,956/x
  3. Step 3: Cross multiply
    708,708.64x = 1,062,881.52 × 209,956
  4. Step 4: Simplify right side
    708,708.64x = 223,158,352,413.12
  5. Step 5: Solve for x
    x = 223,158,352,413.12/708,708.64
  6. Step 6: Final answer
    x = 314,880.25

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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.