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Finding the Fourth Proportional to 420,905.76, 631,451.96 and 121,363

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Solution

The fourth proportional to 420,905.76, 631,451.96 and 121,363 is: 182,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,905.76 : 631,451.96 = 121,363 : x
  2. Step 2: Convert to fraction form
    420,905.76/631,451.96 = 121,363/x
  3. Step 3: Cross multiply
    420,905.76x = 631,451.96 × 121,363
  4. Step 4: Simplify right side
    420,905.76x = 76,634,904,221.48
  5. Step 5: Solve for x
    x = 76,634,904,221.48/420,905.76
  6. Step 6: Final answer
    x = 182,071.41

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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.