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Finding the Fourth Proportional to 311,907.55, 468,026.16 and 221,308.47

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Solution

The fourth proportional to 311,907.55, 468,026.16 and 221,308.47 is: 332,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,907.55 : 468,026.16 = 221,308.47 : x
  2. Step 2: Convert to fraction form
    311,907.55/468,026.16 = 221,308.47/x
  3. Step 3: Cross multiply
    311,907.55x = 468,026.16 × 221,308.47
  4. Step 4: Simplify right side
    311,907.55x = 103,578,153,389.58
  5. Step 5: Solve for x
    x = 103,578,153,389.58/311,907.55
  6. Step 6: Final answer
    x = 332,079.66

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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.