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Finding the Fourth Proportional to 219,289, 328,985.50 and 71,545

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Solution

The fourth proportional to 219,289, 328,985.50 and 71,545 is: 107,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,289 : 328,985.50 = 71,545 : x
  2. Step 2: Convert to fraction form
    219,289/328,985.50 = 71,545/x
  3. Step 3: Cross multiply
    219,289x = 328,985.50 × 71,545
  4. Step 4: Simplify right side
    219,289x = 23,537,267,597.50
  5. Step 5: Solve for x
    x = 23,537,267,597.50/219,289
  6. Step 6: Final answer
    x = 107,334.47

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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.