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Finding the Fourth Proportional to 509,654.28, 765,071.98 and 273,458.28

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Solution

The fourth proportional to 509,654.28, 765,071.98 and 273,458.28 is: 410,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,654.28 : 765,071.98 = 273,458.28 : x
  2. Step 2: Convert to fraction form
    509,654.28/765,071.98 = 273,458.28/x
  3. Step 3: Cross multiply
    509,654.28x = 765,071.98 × 273,458.28
  4. Step 4: Simplify right side
    509,654.28x = 209,215,267,726.99
  5. Step 5: Solve for x
    x = 209,215,267,726.99/509,654.28
  6. Step 6: Final answer
    x = 410,504.29

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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.