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Finding the Fourth Proportional to 565,512.81, 780,147.55 and 501,047.84

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Solution

The fourth proportional to 565,512.81, 780,147.55 and 501,047.84 is: 691,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,512.81 : 780,147.55 = 501,047.84 : x
  2. Step 2: Convert to fraction form
    565,512.81/780,147.55 = 501,047.84/x
  3. Step 3: Cross multiply
    565,512.81x = 780,147.55 × 501,047.84
  4. Step 4: Simplify right side
    565,512.81x = 390,891,247,385.47
  5. Step 5: Solve for x
    x = 390,891,247,385.47/565,512.81
  6. Step 6: Final answer
    x = 691,215.55

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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.