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Finding the Fourth Proportional to 565,603, 780,537.20 and 307,480.48

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Solution

The fourth proportional to 565,603, 780,537.20 and 307,480.48 is: 424,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,603 : 780,537.20 = 307,480.48 : x
  2. Step 2: Convert to fraction form
    565,603/780,537.20 = 307,480.48/x
  3. Step 3: Cross multiply
    565,603x = 780,537.20 × 307,480.48
  4. Step 4: Simplify right side
    565,603x = 239,999,952,913.86
  5. Step 5: Solve for x
    x = 239,999,952,913.86/565,603
  6. Step 6: Final answer
    x = 424,325.81

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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.