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Finding the Fourth Proportional to 268,485.72, 402,728.44 and 78,947.66

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Solution

The fourth proportional to 268,485.72, 402,728.44 and 78,947.66 is: 118,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,485.72 : 402,728.44 = 78,947.66 : x
  2. Step 2: Convert to fraction form
    268,485.72/402,728.44 = 78,947.66/x
  3. Step 3: Cross multiply
    268,485.72x = 402,728.44 × 78,947.66
  4. Step 4: Simplify right side
    268,485.72x = 31,794,468,762.90
  5. Step 5: Solve for x
    x = 31,794,468,762.90/268,485.72
  6. Step 6: Final answer
    x = 118,421.45

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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.