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Finding the Fourth Proportional to 565,255.86, 780,044.07 and 310,601.58

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Solution

The fourth proportional to 565,255.86, 780,044.07 and 310,601.58 is: 428,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,255.86 : 780,044.07 = 310,601.58 : x
  2. Step 2: Convert to fraction form
    565,255.86/780,044.07 = 310,601.58/x
  3. Step 3: Cross multiply
    565,255.86x = 780,044.07 × 310,601.58
  4. Step 4: Simplify right side
    565,255.86x = 242,282,920,611.63
  5. Step 5: Solve for x
    x = 242,282,920,611.63/565,255.86
  6. Step 6: Final answer
    x = 428,625.23

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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.