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Finding the Fourth Proportional to 565,625.45, 780,578.52 and 307,519.77

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Solution

The fourth proportional to 565,625.45, 780,578.52 and 307,519.77 is: 424,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,625.45 : 780,578.52 = 307,519.77 : x
  2. Step 2: Convert to fraction form
    565,625.45/780,578.52 = 307,519.77/x
  3. Step 3: Cross multiply
    565,625.45x = 780,578.52 × 307,519.77
  4. Step 4: Simplify right side
    565,625.45x = 240,043,326,937.34
  5. Step 5: Solve for x
    x = 240,043,326,937.34/565,625.45
  6. Step 6: Final answer
    x = 424,385.66

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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.