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Finding the Fourth Proportional to 516,644.64, 774,965.76 and 142,666.56

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Solution

The fourth proportional to 516,644.64, 774,965.76 and 142,666.56 is: 213,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,644.64 : 774,965.76 = 142,666.56 : x
  2. Step 2: Convert to fraction form
    516,644.64/774,965.76 = 142,666.56/x
  3. Step 3: Cross multiply
    516,644.64x = 774,965.76 × 142,666.56
  4. Step 4: Simplify right side
    516,644.64x = 110,561,699,096.99
  5. Step 5: Solve for x
    x = 110,561,699,096.99/516,644.64
  6. Step 6: Final answer
    x = 213,999.51

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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.