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Finding the Fourth Proportional to 515,574, 773,176.47 and 178,524.19

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Solution

The fourth proportional to 515,574, 773,176.47 and 178,524.19 is: 267,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,574 : 773,176.47 = 178,524.19 : x
  2. Step 2: Convert to fraction form
    515,574/773,176.47 = 178,524.19/x
  3. Step 3: Cross multiply
    515,574x = 773,176.47 × 178,524.19
  4. Step 4: Simplify right side
    515,574x = 138,030,703,033.81
  5. Step 5: Solve for x
    x = 138,030,703,033.81/515,574
  6. Step 6: Final answer
    x = 267,722.39

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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.