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Finding the Fourth Proportional to 516,606.58, 774,908.79 and 142,628.50

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Solution

The fourth proportional to 516,606.58, 774,908.79 and 142,628.50 is: 213,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,606.58 : 774,908.79 = 142,628.50 : x
  2. Step 2: Convert to fraction form
    516,606.58/774,908.79 = 142,628.50/x
  3. Step 3: Cross multiply
    516,606.58x = 774,908.79 × 142,628.50
  4. Step 4: Simplify right side
    516,606.58x = 110,524,078,354.52
  5. Step 5: Solve for x
    x = 110,524,078,354.52/516,606.58
  6. Step 6: Final answer
    x = 213,942.45

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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.