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Finding the Fourth Proportional to 219,070.50, 328,605.78 and 52,858.50

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Solution

The fourth proportional to 219,070.50, 328,605.78 and 52,858.50 is: 79,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,070.50 : 328,605.78 = 52,858.50 : x
  2. Step 2: Convert to fraction form
    219,070.50/328,605.78 = 52,858.50/x
  3. Step 3: Cross multiply
    219,070.50x = 328,605.78 × 52,858.50
  4. Step 4: Simplify right side
    219,070.50x = 17,369,608,622.13
  5. Step 5: Solve for x
    x = 17,369,608,622.13/219,070.50
  6. Step 6: Final answer
    x = 79,287.76

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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.