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Finding the Fourth Proportional to 565,184.50, 779,778.66 and 347,164.54

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Solution

The fourth proportional to 565,184.50, 779,778.66 and 347,164.54 is: 478,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,184.50 : 779,778.66 = 347,164.54 : x
  2. Step 2: Convert to fraction form
    565,184.50/779,778.66 = 347,164.54/x
  3. Step 3: Cross multiply
    565,184.50x = 779,778.66 × 347,164.54
  4. Step 4: Simplify right side
    565,184.50x = 270,711,499,800.72
  5. Step 5: Solve for x
    x = 270,711,499,800.72/565,184.50
  6. Step 6: Final answer
    x = 478,978.99

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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.