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Finding the Fourth Proportional to 268,277.86, 402,478.98 and 78,730.54

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Solution

The fourth proportional to 268,277.86, 402,478.98 and 78,730.54 is: 118,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,277.86 : 402,478.98 = 78,730.54 : x
  2. Step 2: Convert to fraction form
    268,277.86/402,478.98 = 78,730.54/x
  3. Step 3: Cross multiply
    268,277.86x = 402,478.98 × 78,730.54
  4. Step 4: Simplify right side
    268,277.86x = 31,687,387,434.05
  5. Step 5: Solve for x
    x = 31,687,387,434.05/268,277.86
  6. Step 6: Final answer
    x = 118,114.06

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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.