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Finding the Fourth Proportional to 561,437.80, 774,828.30 and 319,730.56

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Solution

The fourth proportional to 561,437.80, 774,828.30 and 319,730.56 is: 441,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,437.80 : 774,828.30 = 319,730.56 : x
  2. Step 2: Convert to fraction form
    561,437.80/774,828.30 = 319,730.56/x
  3. Step 3: Cross multiply
    561,437.80x = 774,828.30 × 319,730.56
  4. Step 4: Simplify right side
    561,437.80x = 247,736,286,262.85
  5. Step 5: Solve for x
    x = 247,736,286,262.85/561,437.80
  6. Step 6: Final answer
    x = 441,253.31

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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.