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Finding the Fourth Proportional to 565,833.98, 780,856.41 and 307,716.47

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Solution

The fourth proportional to 565,833.98, 780,856.41 and 307,716.47 is: 424,651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,833.98 : 780,856.41 = 307,716.47 : x
  2. Step 2: Convert to fraction form
    565,833.98/780,856.41 = 307,716.47/x
  3. Step 3: Cross multiply
    565,833.98x = 780,856.41 × 307,716.47
  4. Step 4: Simplify right side
    565,833.98x = 240,282,374,157.79
  5. Step 5: Solve for x
    x = 240,282,374,157.79/565,833.98
  6. Step 6: Final answer
    x = 424,651.73

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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.