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Finding the Fourth Proportional to 505,266.84, 757,242.09 and 205,397.13

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Solution

The fourth proportional to 505,266.84, 757,242.09 and 205,397.13 is: 307,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,266.84 : 757,242.09 = 205,397.13 : x
  2. Step 2: Convert to fraction form
    505,266.84/757,242.09 = 205,397.13/x
  3. Step 3: Cross multiply
    505,266.84x = 757,242.09 × 205,397.13
  4. Step 4: Simplify right side
    505,266.84x = 155,535,352,001.20
  5. Step 5: Solve for x
    x = 155,535,352,001.20/505,266.84
  6. Step 6: Final answer
    x = 307,828.14

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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.