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Finding the Fourth Proportional to 277,798.56, 416,727.12 and 90,809.76

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Solution

The fourth proportional to 277,798.56, 416,727.12 and 90,809.76 is: 136,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,798.56 : 416,727.12 = 90,809.76 : x
  2. Step 2: Convert to fraction form
    277,798.56/416,727.12 = 90,809.76/x
  3. Step 3: Cross multiply
    277,798.56x = 416,727.12 × 90,809.76
  4. Step 4: Simplify right side
    277,798.56x = 37,842,889,752.69
  5. Step 5: Solve for x
    x = 37,842,889,752.69/277,798.56
  6. Step 6: Final answer
    x = 136,224.21

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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.