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Finding the Fourth Proportional to 565,502.52, 780,395.06 and 323,788.80

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Solution

The fourth proportional to 565,502.52, 780,395.06 and 323,788.80 is: 446,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,502.52 : 780,395.06 = 323,788.80 : x
  2. Step 2: Convert to fraction form
    565,502.52/780,395.06 = 323,788.80/x
  3. Step 3: Cross multiply
    565,502.52x = 780,395.06 × 323,788.80
  4. Step 4: Simplify right side
    565,502.52x = 252,683,180,003.33
  5. Step 5: Solve for x
    x = 252,683,180,003.33/565,502.52
  6. Step 6: Final answer
    x = 446,829.45

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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.