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Finding the Fourth Proportional to 609,090.28, 913,696.28 and 209,678.20

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Solution

The fourth proportional to 609,090.28, 913,696.28 and 209,678.20 is: 314,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,090.28 : 913,696.28 = 209,678.20 : x
  2. Step 2: Convert to fraction form
    609,090.28/913,696.28 = 209,678.20/x
  3. Step 3: Cross multiply
    609,090.28x = 913,696.28 × 209,678.20
  4. Step 4: Simplify right side
    609,090.28x = 191,582,191,337.10
  5. Step 5: Solve for x
    x = 191,582,191,337.10/609,090.28
  6. Step 6: Final answer
    x = 314,538.25

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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.