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Finding the Fourth Proportional to 501,405.60, 752,161.11 and 146,420.61

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Solution

The fourth proportional to 501,405.60, 752,161.11 and 146,420.61 is: 219,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,405.60 : 752,161.11 = 146,420.61 : x
  2. Step 2: Convert to fraction form
    501,405.60/752,161.11 = 146,420.61/x
  3. Step 3: Cross multiply
    501,405.60x = 752,161.11 × 146,420.61
  4. Step 4: Simplify right side
    501,405.60x = 110,131,888,544.48
  5. Step 5: Solve for x
    x = 110,131,888,544.48/501,405.60
  6. Step 6: Final answer
    x = 219,646.31

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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.