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Finding the Fourth Proportional to 268,894.78, 402,234.06 and 220,970.32

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Solution

The fourth proportional to 268,894.78, 402,234.06 and 220,970.32 is: 330,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,894.78 : 402,234.06 = 220,970.32 : x
  2. Step 2: Convert to fraction form
    268,894.78/402,234.06 = 220,970.32/x
  3. Step 3: Cross multiply
    268,894.78x = 402,234.06 × 220,970.32
  4. Step 4: Simplify right side
    268,894.78x = 88,881,788,953.10
  5. Step 5: Solve for x
    x = 88,881,788,953.10/268,894.78
  6. Step 6: Final answer
    x = 330,544.87

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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.