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Finding the Fourth Proportional to 277,747.30, 416,620.95 and 137,779.30

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Solution

The fourth proportional to 277,747.30, 416,620.95 and 137,779.30 is: 206,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,747.30 : 416,620.95 = 137,779.30 : x
  2. Step 2: Convert to fraction form
    277,747.30/416,620.95 = 137,779.30/x
  3. Step 3: Cross multiply
    277,747.30x = 416,620.95 × 137,779.30
  4. Step 4: Simplify right side
    277,747.30x = 57,401,742,856.34
  5. Step 5: Solve for x
    x = 57,401,742,856.34/277,747.30
  6. Step 6: Final answer
    x = 206,668.95

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1.5x scale

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.