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Finding the Fourth Proportional to 472,086.64, 708,261.36 and 205,870.60

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Solution

The fourth proportional to 472,086.64, 708,261.36 and 205,870.60 is: 308,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,086.64 : 708,261.36 = 205,870.60 : x
  2. Step 2: Convert to fraction form
    472,086.64/708,261.36 = 205,870.60/x
  3. Step 3: Cross multiply
    472,086.64x = 708,261.36 × 205,870.60
  4. Step 4: Simplify right side
    472,086.64x = 145,810,191,140.02
  5. Step 5: Solve for x
    x = 145,810,191,140.02/472,086.64
  6. Step 6: Final answer
    x = 308,863.20

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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.