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Finding the Fourth Proportional to 219,411.14, 302,809.72 and 158,207.66

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Solution

The fourth proportional to 219,411.14, 302,809.72 and 158,207.66 is: 218,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,411.14 : 302,809.72 = 158,207.66 : x
  2. Step 2: Convert to fraction form
    219,411.14/302,809.72 = 158,207.66/x
  3. Step 3: Cross multiply
    219,411.14x = 302,809.72 × 158,207.66
  4. Step 4: Simplify right side
    219,411.14x = 47,906,817,226.46
  5. Step 5: Solve for x
    x = 47,906,817,226.46/219,411.14
  6. Step 6: Final answer
    x = 218,342.68

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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.