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Finding the Fourth Proportional to 277,207.10, 415,810.65 and 256,211.90

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Solution

The fourth proportional to 277,207.10, 415,810.65 and 256,211.90 is: 384,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,207.10 : 415,810.65 = 256,211.90 : x
  2. Step 2: Convert to fraction form
    277,207.10/415,810.65 = 256,211.90/x
  3. Step 3: Cross multiply
    277,207.10x = 415,810.65 × 256,211.90
  4. Step 4: Simplify right side
    277,207.10x = 106,535,636,676.74
  5. Step 5: Solve for x
    x = 106,535,636,676.74/277,207.10
  6. Step 6: Final answer
    x = 384,317.85

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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.