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Finding the Fourth Proportional to 515,266.34, 772,969.80 and 178,216.62

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Solution

The fourth proportional to 515,266.34, 772,969.80 and 178,216.62 is: 267,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,266.34 : 772,969.80 = 178,216.62 : x
  2. Step 2: Convert to fraction form
    515,266.34/772,969.80 = 178,216.62/x
  3. Step 3: Cross multiply
    515,266.34x = 772,969.80 × 178,216.62
  4. Step 4: Simplify right side
    515,266.34x = 137,756,065,118.08
  5. Step 5: Solve for x
    x = 137,756,065,118.08/515,266.34
  6. Step 6: Final answer
    x = 267,349.24

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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.