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Finding the Fourth Proportional to 566,842.38, 782,206.59 and 312,193.56

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Solution

The fourth proportional to 566,842.38, 782,206.59 and 312,193.56 is: 430,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,842.38 : 782,206.59 = 312,193.56 : x
  2. Step 2: Convert to fraction form
    566,842.38/782,206.59 = 312,193.56/x
  3. Step 3: Cross multiply
    566,842.38x = 782,206.59 × 312,193.56
  4. Step 4: Simplify right side
    566,842.38x = 244,199,859,987.56
  5. Step 5: Solve for x
    x = 244,199,859,987.56/566,842.38
  6. Step 6: Final answer
    x = 430,807.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.