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Finding the Fourth Proportional to 219,457.88, 302,854.56 and 128,815.64

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Solution

The fourth proportional to 219,457.88, 302,854.56 and 128,815.64 is: 177,767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,457.88 : 302,854.56 = 128,815.64 : x
  2. Step 2: Convert to fraction form
    219,457.88/302,854.56 = 128,815.64/x
  3. Step 3: Cross multiply
    219,457.88x = 302,854.56 × 128,815.64
  4. Step 4: Simplify right side
    219,457.88x = 39,012,403,973.32
  5. Step 5: Solve for x
    x = 39,012,403,973.32/219,457.88
  6. Step 6: Final answer
    x = 177,767.16

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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.