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Finding the Fourth Proportional to 518,820.85, 715,766.18 and 314,796.84

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Solution

The fourth proportional to 518,820.85, 715,766.18 and 314,796.84 is: 434,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,820.85 : 715,766.18 = 314,796.84 : x
  2. Step 2: Convert to fraction form
    518,820.85/715,766.18 = 314,796.84/x
  3. Step 3: Cross multiply
    518,820.85x = 715,766.18 × 314,796.84
  4. Step 4: Simplify right side
    518,820.85x = 225,320,931,642.87
  5. Step 5: Solve for x
    x = 225,320,931,642.87/518,820.85
  6. Step 6: Final answer
    x = 434,294.29

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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.