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Finding the Fourth Proportional to 252,488.36, 378,444.78 and 157,762.28

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Solution

The fourth proportional to 252,488.36, 378,444.78 and 157,762.28 is: 236,463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,488.36 : 378,444.78 = 157,762.28 : x
  2. Step 2: Convert to fraction form
    252,488.36/378,444.78 = 157,762.28/x
  3. Step 3: Cross multiply
    252,488.36x = 378,444.78 × 157,762.28
  4. Step 4: Simplify right side
    252,488.36x = 59,704,311,346.90
  5. Step 5: Solve for x
    x = 59,704,311,346.90/252,488.36
  6. Step 6: Final answer
    x = 236,463.62

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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.