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Finding the Fourth Proportional to 709,091.16, 978,627.47 and 394,794.66

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Solution

The fourth proportional to 709,091.16, 978,627.47 and 394,794.66 is: 544,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,091.16 : 978,627.47 = 394,794.66 : x
  2. Step 2: Convert to fraction form
    709,091.16/978,627.47 = 394,794.66/x
  3. Step 3: Cross multiply
    709,091.16x = 978,627.47 × 394,794.66
  4. Step 4: Simplify right side
    709,091.16x = 386,356,897,697.13
  5. Step 5: Solve for x
    x = 386,356,897,697.13/709,091.16
  6. Step 6: Final answer
    x = 544,862.10

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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.