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Finding the Fourth Proportional to 306,055.35, 459,117.95 and 81,424.93

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Solution

The fourth proportional to 306,055.35, 459,117.95 and 81,424.93 is: 122,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,055.35 : 459,117.95 = 81,424.93 : x
  2. Step 2: Convert to fraction form
    306,055.35/459,117.95 = 81,424.93/x
  3. Step 3: Cross multiply
    306,055.35x = 459,117.95 × 81,424.93
  4. Step 4: Simplify right side
    306,055.35x = 37,383,646,940.49
  5. Step 5: Solve for x
    x = 37,383,646,940.49/306,055.35
  6. Step 6: Final answer
    x = 122,146.69

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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.