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Finding the Fourth Proportional to 386,473.83, 579,714.48 and 146,523.20

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Solution

The fourth proportional to 386,473.83, 579,714.48 and 146,523.20 is: 219,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,473.83 : 579,714.48 = 146,523.20 : x
  2. Step 2: Convert to fraction form
    386,473.83/579,714.48 = 146,523.20/x
  3. Step 3: Cross multiply
    386,473.83x = 579,714.48 × 146,523.20
  4. Step 4: Simplify right side
    386,473.83x = 84,941,620,695.94
  5. Step 5: Solve for x
    x = 84,941,620,695.94/386,473.83
  6. Step 6: Final answer
    x = 219,786.22

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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.