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Finding the Fourth Proportional to 657,163.88, 906,897.87 and 385,427.77

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Solution

The fourth proportional to 657,163.88, 906,897.87 and 385,427.77 is: 531,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,163.88 : 906,897.87 = 385,427.77 : x
  2. Step 2: Convert to fraction form
    657,163.88/906,897.87 = 385,427.77/x
  3. Step 3: Cross multiply
    657,163.88x = 906,897.87 × 385,427.77
  4. Step 4: Simplify right side
    657,163.88x = 349,543,621,384.61
  5. Step 5: Solve for x
    x = 349,543,621,384.61/657,163.88
  6. Step 6: Final answer
    x = 531,897.19

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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.