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Finding the Fourth Proportional to 514,290.60, 771,486.63 and 177,286.89

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Solution

The fourth proportional to 514,290.60, 771,486.63 and 177,286.89 is: 265,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,290.60 : 771,486.63 = 177,286.89 : x
  2. Step 2: Convert to fraction form
    514,290.60/771,486.63 = 177,286.89/x
  3. Step 3: Cross multiply
    514,290.60x = 771,486.63 × 177,286.89
  4. Step 4: Simplify right side
    514,290.60x = 136,774,465,309.28
  5. Step 5: Solve for x
    x = 136,774,465,309.28/514,290.60
  6. Step 6: Final answer
    x = 265,947.82

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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.