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Finding the Fourth Proportional to 292,678, 403,895.76 and 158,542

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Solution

The fourth proportional to 292,678, 403,895.76 and 158,542 is: 218,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,678 : 403,895.76 = 158,542 : x
  2. Step 2: Convert to fraction form
    292,678/403,895.76 = 158,542/x
  3. Step 3: Cross multiply
    292,678x = 403,895.76 × 158,542
  4. Step 4: Simplify right side
    292,678x = 64,034,441,581.92
  5. Step 5: Solve for x
    x = 64,034,441,581.92/292,678
  6. Step 6: Final answer
    x = 218,788.03

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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.