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Finding the Fourth Proportional to 346,948, 478,788.24 and 187,972

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Solution

The fourth proportional to 346,948, 478,788.24 and 187,972 is: 259,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,948 : 478,788.24 = 187,972 : x
  2. Step 2: Convert to fraction form
    346,948/478,788.24 = 187,972/x
  3. Step 3: Cross multiply
    346,948x = 478,788.24 × 187,972
  4. Step 4: Simplify right side
    346,948x = 89,998,783,049.28
  5. Step 5: Solve for x
    x = 89,998,783,049.28/346,948
  6. Step 6: Final answer
    x = 259,401.36

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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.