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Finding the Fourth Proportional to 709,211.19, 978,677.33 and 386,902.07

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Solution

The fourth proportional to 709,211.19, 978,677.33 and 386,902.07 is: 533,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,211.19 : 978,677.33 = 386,902.07 : x
  2. Step 2: Convert to fraction form
    709,211.19/978,677.33 = 386,902.07/x
  3. Step 3: Cross multiply
    709,211.19x = 978,677.33 × 386,902.07
  4. Step 4: Simplify right side
    709,211.19x = 378,652,278,011.18
  5. Step 5: Solve for x
    x = 378,652,278,011.18/709,211.19
  6. Step 6: Final answer
    x = 533,906.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.