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Finding the Fourth Proportional to 321,907.83, 482,871.87 and 153,446.46

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Solution

The fourth proportional to 321,907.83, 482,871.87 and 153,446.46 is: 230,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,907.83 : 482,871.87 = 153,446.46 : x
  2. Step 2: Convert to fraction form
    321,907.83/482,871.87 = 153,446.46/x
  3. Step 3: Cross multiply
    321,907.83x = 482,871.87 × 153,446.46
  4. Step 4: Simplify right side
    321,907.83x = 74,094,979,085.08
  5. Step 5: Solve for x
    x = 74,094,979,085.08/321,907.83
  6. Step 6: Final answer
    x = 230,174.52

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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.