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Finding the Fourth Proportional to 631,625.94, 871,646.11 and 345,146.06

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Solution

The fourth proportional to 631,625.94, 871,646.11 and 345,146.06 is: 476,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,625.94 : 871,646.11 = 345,146.06 : x
  2. Step 2: Convert to fraction form
    631,625.94/871,646.11 = 345,146.06/x
  3. Step 3: Cross multiply
    631,625.94x = 871,646.11 × 345,146.06
  4. Step 4: Simplify right side
    631,625.94x = 300,845,221,897.08
  5. Step 5: Solve for x
    x = 300,845,221,897.08/631,625.94
  6. Step 6: Final answer
    x = 476,302.83

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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.