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Finding the Fourth Proportional to 516,654.68, 774,996.64 and 142,677.68

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Solution

The fourth proportional to 516,654.68, 774,996.64 and 142,677.68 is: 214,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,654.68 : 774,996.64 = 142,677.68 : x
  2. Step 2: Convert to fraction form
    516,654.68/774,996.64 = 142,677.68/x
  3. Step 3: Cross multiply
    516,654.68x = 774,996.64 × 142,677.68
  4. Step 4: Simplify right side
    516,654.68x = 110,574,722,603.00
  5. Step 5: Solve for x
    x = 110,574,722,603.00/516,654.68
  6. Step 6: Final answer
    x = 214,020.56

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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.