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Finding the Fourth Proportional to 565,602, 780,535.82 and 307,479.48

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Solution

The fourth proportional to 565,602, 780,535.82 and 307,479.48 is: 424,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,602 : 780,535.82 = 307,479.48 : x
  2. Step 2: Convert to fraction form
    565,602/780,535.82 = 307,479.48/x
  3. Step 3: Cross multiply
    565,602x = 780,535.82 × 307,479.48
  4. Step 4: Simplify right side
    565,602x = 239,998,748,054.97
  5. Step 5: Solve for x
    x = 239,998,748,054.97/565,602
  6. Step 6: Final answer
    x = 424,324.43

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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.