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Finding the Fourth Proportional to 631,850, 947,775.13 and 211,125.92

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Solution

The fourth proportional to 631,850, 947,775.13 and 211,125.92 is: 316,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,850 : 947,775.13 = 211,125.92 : x
  2. Step 2: Convert to fraction form
    631,850/947,775.13 = 211,125.92/x
  3. Step 3: Cross multiply
    631,850x = 947,775.13 × 211,125.92
  4. Step 4: Simplify right side
    631,850x = 200,099,896,274.37
  5. Step 5: Solve for x
    x = 200,099,896,274.37/631,850
  6. Step 6: Final answer
    x = 316,688.92

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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.