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Finding the Fourth Proportional to 565,418.22, 780,283.18 and 307,295.17

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Solution

The fourth proportional to 565,418.22, 780,283.18 and 307,295.17 is: 424,070.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,418.22 : 780,283.18 = 307,295.17 : x
  2. Step 2: Convert to fraction form
    565,418.22/780,283.18 = 307,295.17/x
  3. Step 3: Cross multiply
    565,418.22x = 780,283.18 × 307,295.17
  4. Step 4: Simplify right side
    565,418.22x = 239,777,247,008.35
  5. Step 5: Solve for x
    x = 239,777,247,008.35/565,418.22
  6. Step 6: Final answer
    x = 424,070.61

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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.