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Finding the Fourth Proportional to 219,387, 329,080.50 and 53,175

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Solution

The fourth proportional to 219,387, 329,080.50 and 53,175 is: 79,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,387 : 329,080.50 = 53,175 : x
  2. Step 2: Convert to fraction form
    219,387/329,080.50 = 53,175/x
  3. Step 3: Cross multiply
    219,387x = 329,080.50 × 53,175
  4. Step 4: Simplify right side
    219,387x = 17,498,855,587.50
  5. Step 5: Solve for x
    x = 17,498,855,587.50/219,387
  6. Step 6: Final answer
    x = 79,762.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.