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Finding the Fourth Proportional to 315,364.20, 473,046.30 and 226,429.80

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Solution

The fourth proportional to 315,364.20, 473,046.30 and 226,429.80 is: 339,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,364.20 : 473,046.30 = 226,429.80 : x
  2. Step 2: Convert to fraction form
    315,364.20/473,046.30 = 226,429.80/x
  3. Step 3: Cross multiply
    315,364.20x = 473,046.30 × 226,429.80
  4. Step 4: Simplify right side
    315,364.20x = 107,111,779,099.74
  5. Step 5: Solve for x
    x = 107,111,779,099.74/315,364.20
  6. Step 6: Final answer
    x = 339,644.70

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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.