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Finding the Fourth Proportional to 472,730.50, 708,698 and 219,882.52

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Solution

The fourth proportional to 472,730.50, 708,698 and 219,882.52 is: 329,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,730.50 : 708,698 = 219,882.52 : x
  2. Step 2: Convert to fraction form
    472,730.50/708,698 = 219,882.52/x
  3. Step 3: Cross multiply
    472,730.50x = 708,698 × 219,882.52
  4. Step 4: Simplify right side
    472,730.50x = 155,830,302,158.96
  5. Step 5: Solve for x
    x = 155,830,302,158.96/472,730.50
  6. Step 6: Final answer
    x = 329,638.77

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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.