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Finding the Fourth Proportional to 268,245.32, 402,430.24 and 78,698

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Solution

The fourth proportional to 268,245.32, 402,430.24 and 78,698 is: 118,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,245.32 : 402,430.24 = 78,698 : x
  2. Step 2: Convert to fraction form
    268,245.32/402,430.24 = 78,698/x
  3. Step 3: Cross multiply
    268,245.32x = 402,430.24 × 78,698
  4. Step 4: Simplify right side
    268,245.32x = 31,670,455,027.52
  5. Step 5: Solve for x
    x = 31,670,455,027.52/268,245.32
  6. Step 6: Final answer
    x = 118,065.27

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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.