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Finding the Fourth Proportional to 713,642.74, 984,849.77 and 391,352.06

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Solution

The fourth proportional to 713,642.74, 984,849.77 and 391,352.06 is: 540,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,642.74 : 984,849.77 = 391,352.06 : x
  2. Step 2: Convert to fraction form
    713,642.74/984,849.77 = 391,352.06/x
  3. Step 3: Cross multiply
    713,642.74x = 984,849.77 × 391,352.06
  4. Step 4: Simplify right side
    713,642.74x = 385,422,989,720.53
  5. Step 5: Solve for x
    x = 385,422,989,720.53/713,642.74
  6. Step 6: Final answer
    x = 540,078.35

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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.