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Finding the Fourth Proportional to 411,876.22, 615,309.65 and 266,598.60

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Solution

The fourth proportional to 411,876.22, 615,309.65 and 266,598.60 is: 398,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,876.22 : 615,309.65 = 266,598.60 : x
  2. Step 2: Convert to fraction form
    411,876.22/615,309.65 = 266,598.60/x
  3. Step 3: Cross multiply
    411,876.22x = 615,309.65 × 266,598.60
  4. Step 4: Simplify right side
    411,876.22x = 164,040,692,401.24
  5. Step 5: Solve for x
    x = 164,040,692,401.24/411,876.22
  6. Step 6: Final answer
    x = 398,276.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.