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Finding the Fourth Proportional to 515,965.64, 773,952.78 and 142,009.16

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Solution

The fourth proportional to 515,965.64, 773,952.78 and 142,009.16 is: 213,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,965.64 : 773,952.78 = 142,009.16 : x
  2. Step 2: Convert to fraction form
    515,965.64/773,952.78 = 142,009.16/x
  3. Step 3: Cross multiply
    515,965.64x = 773,952.78 × 142,009.16
  4. Step 4: Simplify right side
    515,965.64x = 109,908,384,167.47
  5. Step 5: Solve for x
    x = 109,908,384,167.47/515,965.64
  6. Step 6: Final answer
    x = 213,014.93

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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.