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Finding the Fourth Proportional to 338,477.12, 467,311.13 and 217,828.53

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Solution

The fourth proportional to 338,477.12, 467,311.13 and 217,828.53 is: 300,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,477.12 : 467,311.13 = 217,828.53 : x
  2. Step 2: Convert to fraction form
    338,477.12/467,311.13 = 217,828.53/x
  3. Step 3: Cross multiply
    338,477.12x = 467,311.13 × 217,828.53
  4. Step 4: Simplify right side
    338,477.12x = 101,793,695,411.40
  5. Step 5: Solve for x
    x = 101,793,695,411.40/338,477.12
  6. Step 6: Final answer
    x = 300,740.26

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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.