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Finding the Fourth Proportional to 268,323.95, 402,499.71 and 68,646.06

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Solution

The fourth proportional to 268,323.95, 402,499.71 and 68,646.06 is: 102,972.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,323.95 : 402,499.71 = 68,646.06 : x
  2. Step 2: Convert to fraction form
    268,323.95/402,499.71 = 68,646.06/x
  3. Step 3: Cross multiply
    268,323.95x = 402,499.71 × 68,646.06
  4. Step 4: Simplify right side
    268,323.95x = 27,630,019,242.64
  5. Step 5: Solve for x
    x = 27,630,019,242.64/268,323.95
  6. Step 6: Final answer
    x = 102,972.62

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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.