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Finding the Fourth Proportional to 509,305.32, 763,695.18 and 228,582.36

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Solution

The fourth proportional to 509,305.32, 763,695.18 and 228,582.36 is: 342,755.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,305.32 : 763,695.18 = 228,582.36 : x
  2. Step 2: Convert to fraction form
    509,305.32/763,695.18 = 228,582.36/x
  3. Step 3: Cross multiply
    509,305.32x = 763,695.18 × 228,582.36
  4. Step 4: Simplify right side
    509,305.32x = 174,567,246,565.03
  5. Step 5: Solve for x
    x = 174,567,246,565.03/509,305.32
  6. Step 6: Final answer
    x = 342,755.59

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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.