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Finding the Fourth Proportional to 219,507.96, 302,943.42 and 158,304.72

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Solution

The fourth proportional to 219,507.96, 302,943.42 and 158,304.72 is: 218,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,507.96 : 302,943.42 = 158,304.72 : x
  2. Step 2: Convert to fraction form
    219,507.96/302,943.42 = 158,304.72/x
  3. Step 3: Cross multiply
    219,507.96x = 302,943.42 × 158,304.72
  4. Step 4: Simplify right side
    219,507.96x = 47,957,373,278.94
  5. Step 5: Solve for x
    x = 47,957,373,278.94/219,507.96
  6. Step 6: Final answer
    x = 218,476.69

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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.