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Finding the Fourth Proportional to 268,355.02, 402,470.26 and 78,764.48

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Solution

The fourth proportional to 268,355.02, 402,470.26 and 78,764.48 is: 118,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,355.02 : 402,470.26 = 78,764.48 : x
  2. Step 2: Convert to fraction form
    268,355.02/402,470.26 = 78,764.48/x
  3. Step 3: Cross multiply
    268,355.02x = 402,470.26 × 78,764.48
  4. Step 4: Simplify right side
    268,355.02x = 31,700,362,365.92
  5. Step 5: Solve for x
    x = 31,700,362,365.92/268,355.02
  6. Step 6: Final answer
    x = 118,128.45

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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.