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Finding the Fourth Proportional to 386,472.83, 579,712.98 and 146,522.20

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Solution

The fourth proportional to 386,472.83, 579,712.98 and 146,522.20 is: 219,784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,472.83 : 579,712.98 = 146,522.20 : x
  2. Step 2: Convert to fraction form
    386,472.83/579,712.98 = 146,522.20/x
  3. Step 3: Cross multiply
    386,472.83x = 579,712.98 × 146,522.20
  4. Step 4: Simplify right side
    386,472.83x = 84,940,821,198.16
  5. Step 5: Solve for x
    x = 84,940,821,198.16/386,472.83
  6. Step 6: Final answer
    x = 219,784.72

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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.