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Finding the Fourth Proportional to 268,497.79, 402,764.45 and 78,975.10

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Solution

The fourth proportional to 268,497.79, 402,764.45 and 78,975.10 is: 118,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,497.79 : 402,764.45 = 78,975.10 : x
  2. Step 2: Convert to fraction form
    268,497.79/402,764.45 = 78,975.10/x
  3. Step 3: Cross multiply
    268,497.79x = 402,764.45 × 78,975.10
  4. Step 4: Simplify right side
    268,497.79x = 31,808,363,268.01
  5. Step 5: Solve for x
    x = 31,808,363,268.01/268,497.79
  6. Step 6: Final answer
    x = 118,467.88

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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.