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Finding the Fourth Proportional to 219,036.54, 328,587 and 69,242.82

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Solution

The fourth proportional to 219,036.54, 328,587 and 69,242.82 is: 103,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,036.54 : 328,587 = 69,242.82 : x
  2. Step 2: Convert to fraction form
    219,036.54/328,587 = 69,242.82/x
  3. Step 3: Cross multiply
    219,036.54x = 328,587 × 69,242.82
  4. Step 4: Simplify right side
    219,036.54x = 22,752,290,495.34
  5. Step 5: Solve for x
    x = 22,752,290,495.34/219,036.54
  6. Step 6: Final answer
    x = 103,874.41

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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.