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Finding the Fourth Proportional to 346,542, 478,229.40 and 187,566

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Solution

The fourth proportional to 346,542, 478,229.40 and 187,566 is: 258,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,542 : 478,229.40 = 187,566 : x
  2. Step 2: Convert to fraction form
    346,542/478,229.40 = 187,566/x
  3. Step 3: Cross multiply
    346,542x = 478,229.40 × 187,566
  4. Step 4: Simplify right side
    346,542x = 89,699,575,640.40
  5. Step 5: Solve for x
    x = 89,699,575,640.40/346,542
  6. Step 6: Final answer
    x = 258,841.86

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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.