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Finding the Fourth Proportional to 509,345.40, 763,514.10 and 225,190.20

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Solution

The fourth proportional to 509,345.40, 763,514.10 and 225,190.20 is: 337,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,345.40 : 763,514.10 = 225,190.20 : x
  2. Step 2: Convert to fraction form
    509,345.40/763,514.10 = 225,190.20/x
  3. Step 3: Cross multiply
    509,345.40x = 763,514.10 × 225,190.20
  4. Step 4: Simplify right side
    509,345.40x = 171,935,892,881.82
  5. Step 5: Solve for x
    x = 171,935,892,881.82/509,345.40
  6. Step 6: Final answer
    x = 337,562.47

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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.