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Finding the Fourth Proportional to 346,467, 478,124.70 and 187,491

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Solution

The fourth proportional to 346,467, 478,124.70 and 187,491 is: 258,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,467 : 478,124.70 = 187,491 : x
  2. Step 2: Convert to fraction form
    346,467/478,124.70 = 187,491/x
  3. Step 3: Cross multiply
    346,467x = 478,124.70 × 187,491
  4. Step 4: Simplify right side
    346,467x = 89,644,078,127.70
  5. Step 5: Solve for x
    x = 89,644,078,127.70/346,467
  6. Step 6: Final answer
    x = 258,737.71

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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.