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Finding the Fourth Proportional to 277,647.13, 416,470.56 and 90,658.63

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Solution

The fourth proportional to 277,647.13, 416,470.56 and 90,658.63 is: 135,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,647.13 : 416,470.56 = 90,658.63 : x
  2. Step 2: Convert to fraction form
    277,647.13/416,470.56 = 90,658.63/x
  3. Step 3: Cross multiply
    277,647.13x = 416,470.56 × 90,658.63
  4. Step 4: Simplify right side
    277,647.13x = 37,756,650,404.93
  5. Step 5: Solve for x
    x = 37,756,650,404.93/277,647.13
  6. Step 6: Final answer
    x = 135,987.90

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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.