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Finding the Fourth Proportional to 520,356.48, 780,797.16 and 205,039.68

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Solution

The fourth proportional to 520,356.48, 780,797.16 and 205,039.68 is: 307,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,356.48 : 780,797.16 = 205,039.68 : x
  2. Step 2: Convert to fraction form
    520,356.48/780,797.16 = 205,039.68/x
  3. Step 3: Cross multiply
    520,356.48x = 780,797.16 × 205,039.68
  4. Step 4: Simplify right side
    520,356.48x = 160,094,399,831.31
  5. Step 5: Solve for x
    x = 160,094,399,831.31/520,356.48
  6. Step 6: Final answer
    x = 307,662.93

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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.