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Finding the Fourth Proportional to 505,202.96, 757,802.31 and 205,612.52

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Solution

The fourth proportional to 505,202.96, 757,802.31 and 205,612.52 is: 308,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,202.96 : 757,802.31 = 205,612.52 : x
  2. Step 2: Convert to fraction form
    505,202.96/757,802.31 = 205,612.52/x
  3. Step 3: Cross multiply
    505,202.96x = 757,802.31 × 205,612.52
  4. Step 4: Simplify right side
    505,202.96x = 155,813,638,831.91
  5. Step 5: Solve for x
    x = 155,813,638,831.91/505,202.96
  6. Step 6: Final answer
    x = 308,417.91

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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.