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Finding the Fourth Proportional to 277,749.31, 416,645.57 and 90,779.71

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Solution

The fourth proportional to 277,749.31, 416,645.57 and 90,779.71 is: 136,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,749.31 : 416,645.57 = 90,779.71 : x
  2. Step 2: Convert to fraction form
    277,749.31/416,645.57 = 90,779.71/x
  3. Step 3: Cross multiply
    277,749.31x = 416,645.57 × 90,779.71
  4. Step 4: Simplify right side
    277,749.31x = 37,822,963,563.49
  5. Step 5: Solve for x
    x = 37,822,963,563.49/277,749.31
  6. Step 6: Final answer
    x = 136,176.62

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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.