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Finding the Fourth Proportional to 565,601, 780,534.44 and 307,478.48

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Solution

The fourth proportional to 565,601, 780,534.44 and 307,478.48 is: 424,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,601 : 780,534.44 = 307,478.48 : x
  2. Step 2: Convert to fraction form
    565,601/780,534.44 = 307,478.48/x
  3. Step 3: Cross multiply
    565,601x = 780,534.44 × 307,478.48
  4. Step 4: Simplify right side
    565,601x = 239,997,543,198.85
  5. Step 5: Solve for x
    x = 239,997,543,198.85/565,601
  6. Step 6: Final answer
    x = 424,323.05

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1.5x scale

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.