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Finding the Fourth Proportional to 219,214.30, 328,821.45 and 53,002.30

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Solution

The fourth proportional to 219,214.30, 328,821.45 and 53,002.30 is: 79,503.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,214.30 : 328,821.45 = 53,002.30 : x
  2. Step 2: Convert to fraction form
    219,214.30/328,821.45 = 53,002.30/x
  3. Step 3: Cross multiply
    219,214.30x = 328,821.45 × 53,002.30
  4. Step 4: Simplify right side
    219,214.30x = 17,428,293,139.34
  5. Step 5: Solve for x
    x = 17,428,293,139.34/219,214.30
  6. Step 6: Final answer
    x = 79,503.45

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1.5x scale

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.