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Finding the Fourth Proportional to 277,646.13, 416,469.06 and 90,657.63

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Solution

The fourth proportional to 277,646.13, 416,469.06 and 90,657.63 is: 135,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,646.13 : 416,469.06 = 90,657.63 : x
  2. Step 2: Convert to fraction form
    277,646.13/416,469.06 = 90,657.63/x
  3. Step 3: Cross multiply
    277,646.13x = 416,469.06 × 90,657.63
  4. Step 4: Simplify right side
    277,646.13x = 37,756,097,947.93
  5. Step 5: Solve for x
    x = 37,756,097,947.93/277,646.13
  6. Step 6: Final answer
    x = 135,986.40

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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.