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Finding the Fourth Proportional to 219,509.46, 302,945.50 and 158,306.22

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Solution

The fourth proportional to 219,509.46, 302,945.50 and 158,306.22 is: 218,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,509.46 : 302,945.50 = 158,306.22 : x
  2. Step 2: Convert to fraction form
    219,509.46/302,945.50 = 158,306.22/x
  3. Step 3: Cross multiply
    219,509.46x = 302,945.50 × 158,306.22
  4. Step 4: Simplify right side
    219,509.46x = 47,958,156,971.01
  5. Step 5: Solve for x
    x = 47,958,156,971.01/219,509.46
  6. Step 6: Final answer
    x = 218,478.77

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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.