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Finding the Fourth Proportional to 219,509.28, 329,713.92 and 144,737.28

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Solution

The fourth proportional to 219,509.28, 329,713.92 and 144,737.28 is: 217,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,509.28 : 329,713.92 = 144,737.28 : x
  2. Step 2: Convert to fraction form
    219,509.28/329,713.92 = 144,737.28/x
  3. Step 3: Cross multiply
    219,509.28x = 329,713.92 × 144,737.28
  4. Step 4: Simplify right side
    219,509.28x = 47,721,895,958.94
  5. Step 5: Solve for x
    x = 47,721,895,958.94/219,509.28
  6. Step 6: Final answer
    x = 217,402.64

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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.