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Finding the Fourth Proportional to 520,406.43, 780,077.94 and 295,291.32

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Solution

The fourth proportional to 520,406.43, 780,077.94 and 295,291.32 is: 442,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,406.43 : 780,077.94 = 295,291.32 : x
  2. Step 2: Convert to fraction form
    520,406.43/780,077.94 = 295,291.32/x
  3. Step 3: Cross multiply
    520,406.43x = 780,077.94 × 295,291.32
  4. Step 4: Simplify right side
    520,406.43x = 230,350,244,605.48
  5. Step 5: Solve for x
    x = 230,350,244,605.48/520,406.43
  6. Step 6: Final answer
    x = 442,635.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.