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Finding the Fourth Proportional to 565,138.09, 779,891.25 and 307,015.21

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Solution

The fourth proportional to 565,138.09, 779,891.25 and 307,015.21 is: 423,681.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,138.09 : 779,891.25 = 307,015.21 : x
  2. Step 2: Convert to fraction form
    565,138.09/779,891.25 = 307,015.21/x
  3. Step 3: Cross multiply
    565,138.09x = 779,891.25 × 307,015.21
  4. Step 4: Simplify right side
    565,138.09x = 239,438,475,895.91
  5. Step 5: Solve for x
    x = 239,438,475,895.91/565,138.09
  6. Step 6: Final answer
    x = 423,681.36

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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.