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Finding the Fourth Proportional to 657,099.95, 906,330.16 and 427,231.06

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Solution

The fourth proportional to 657,099.95, 906,330.16 and 427,231.06 is: 589,274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,099.95 : 906,330.16 = 427,231.06 : x
  2. Step 2: Convert to fraction form
    657,099.95/906,330.16 = 427,231.06/x
  3. Step 3: Cross multiply
    657,099.95x = 906,330.16 × 427,231.06
  4. Step 4: Simplify right side
    657,099.95x = 387,212,393,234.98
  5. Step 5: Solve for x
    x = 387,212,393,234.98/657,099.95
  6. Step 6: Final answer
    x = 589,274.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.