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Finding the Fourth Proportional to 713,722.72, 984,949.96 and 391,430

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Solution

The fourth proportional to 713,722.72, 984,949.96 and 391,430 is: 540,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,722.72 : 984,949.96 = 391,430 : x
  2. Step 2: Convert to fraction form
    713,722.72/984,949.96 = 391,430/x
  3. Step 3: Cross multiply
    713,722.72x = 984,949.96 × 391,430
  4. Step 4: Simplify right side
    713,722.72x = 385,538,962,842.80
  5. Step 5: Solve for x
    x = 385,538,962,842.80/713,722.72
  6. Step 6: Final answer
    x = 540,180.31

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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.