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Finding the Fourth Proportional to 219,508.96, 302,944.80 and 158,305.72

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Solution

The fourth proportional to 219,508.96, 302,944.80 and 158,305.72 is: 218,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,508.96 : 302,944.80 = 158,305.72 : x
  2. Step 2: Convert to fraction form
    219,508.96/302,944.80 = 158,305.72/x
  3. Step 3: Cross multiply
    219,508.96x = 302,944.80 × 158,305.72
  4. Step 4: Simplify right side
    219,508.96x = 47,957,894,684.26
  5. Step 5: Solve for x
    x = 47,957,894,684.26/219,508.96
  6. Step 6: Final answer
    x = 218,478.07

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1.5x scale

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.