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Finding the Fourth Proportional to 565,753.09, 780,740.21 and 307,629.80

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Solution

The fourth proportional to 565,753.09, 780,740.21 and 307,629.80 is: 424,529.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,753.09 : 780,740.21 = 307,629.80 : x
  2. Step 2: Convert to fraction form
    565,753.09/780,740.21 = 307,629.80/x
  3. Step 3: Cross multiply
    565,753.09x = 780,740.21 × 307,629.80
  4. Step 4: Simplify right side
    565,753.09x = 240,178,952,284.39
  5. Step 5: Solve for x
    x = 240,178,952,284.39/565,753.09
  6. Step 6: Final answer
    x = 424,529.63

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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.