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Finding the Fourth Proportional to 565,590, 780,519.24 and 307,467.44

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Solution

The fourth proportional to 565,590, 780,519.24 and 307,467.44 is: 424,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,590 : 780,519.24 = 307,467.44 : x
  2. Step 2: Convert to fraction form
    565,590/780,519.24 = 307,467.44/x
  3. Step 3: Cross multiply
    565,590x = 780,519.24 × 307,467.44
  4. Step 4: Simplify right side
    565,590x = 239,984,252,593.55
  5. Step 5: Solve for x
    x = 239,984,252,593.55/565,590
  6. Step 6: Final answer
    x = 424,307.81

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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.