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Finding the Fourth Proportional to 709,076.54, 978,531.87 and 386,788.07

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Solution

The fourth proportional to 709,076.54, 978,531.87 and 386,788.07 is: 533,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,076.54 : 978,531.87 = 386,788.07 : x
  2. Step 2: Convert to fraction form
    709,076.54/978,531.87 = 386,788.07/x
  3. Step 3: Cross multiply
    709,076.54x = 978,531.87 × 386,788.07
  4. Step 4: Simplify right side
    709,076.54x = 378,484,457,327.58
  5. Step 5: Solve for x
    x = 378,484,457,327.58/709,076.54
  6. Step 6: Final answer
    x = 533,770.95

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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.