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Finding the Fourth Proportional to 509,031.52, 763,477.54 and 281,747.54

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Solution

The fourth proportional to 509,031.52, 763,477.54 and 281,747.54 is: 422,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,031.52 : 763,477.54 = 281,747.54 : x
  2. Step 2: Convert to fraction form
    509,031.52/763,477.54 = 281,747.54/x
  3. Step 3: Cross multiply
    509,031.52x = 763,477.54 × 281,747.54
  4. Step 4: Simplify right side
    509,031.52x = 215,107,918,740.25
  5. Step 5: Solve for x
    x = 215,107,918,740.25/509,031.52
  6. Step 6: Final answer
    x = 422,582.71

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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.