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Finding the Fourth Proportional to 219,482.30, 302,869.86 and 128,841.96

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Solution

The fourth proportional to 219,482.30, 302,869.86 and 128,841.96 is: 177,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,482.30 : 302,869.86 = 128,841.96 : x
  2. Step 2: Convert to fraction form
    219,482.30/302,869.86 = 128,841.96/x
  3. Step 3: Cross multiply
    219,482.30x = 302,869.86 × 128,841.96
  4. Step 4: Simplify right side
    219,482.30x = 39,022,346,387.33
  5. Step 5: Solve for x
    x = 39,022,346,387.33/219,482.30
  6. Step 6: Final answer
    x = 177,792.68

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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.