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Finding the Fourth Proportional to 346,494, 478,161.75 and 187,518

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Solution

The fourth proportional to 346,494, 478,161.75 and 187,518 is: 258,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,494 : 478,161.75 = 187,518 : x
  2. Step 2: Convert to fraction form
    346,494/478,161.75 = 187,518/x
  3. Step 3: Cross multiply
    346,494x = 478,161.75 × 187,518
  4. Step 4: Simplify right side
    346,494x = 89,663,935,036.50
  5. Step 5: Solve for x
    x = 89,663,935,036.50/346,494
  6. Step 6: Final answer
    x = 258,774.86

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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.