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Finding the Fourth Proportional to 709,641, 979,469.14 and 467,967.24

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Solution

The fourth proportional to 709,641, 979,469.14 and 467,967.24 is: 645,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,641 : 979,469.14 = 467,967.24 : x
  2. Step 2: Convert to fraction form
    709,641/979,469.14 = 467,967.24/x
  3. Step 3: Cross multiply
    709,641x = 979,469.14 × 467,967.24
  4. Step 4: Simplify right side
    709,641x = 458,359,470,110.97
  5. Step 5: Solve for x
    x = 458,359,470,110.97/709,641
  6. Step 6: Final answer
    x = 645,903.31

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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.