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Finding the Fourth Proportional to 219,423, 329,135.58 and 53,211

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Solution

The fourth proportional to 219,423, 329,135.58 and 53,211 is: 79,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,423 : 329,135.58 = 53,211 : x
  2. Step 2: Convert to fraction form
    219,423/329,135.58 = 53,211/x
  3. Step 3: Cross multiply
    219,423x = 329,135.58 × 53,211
  4. Step 4: Simplify right side
    219,423x = 17,513,633,347.38
  5. Step 5: Solve for x
    x = 17,513,633,347.38/219,423
  6. Step 6: Final answer
    x = 79,816.76

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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.