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Finding the Fourth Proportional to 493,477.80, 740,562.30 and 213,196.20

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Solution

The fourth proportional to 493,477.80, 740,562.30 and 213,196.20 is: 319,943.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,477.80 : 740,562.30 = 213,196.20 : x
  2. Step 2: Convert to fraction form
    493,477.80/740,562.30 = 213,196.20/x
  3. Step 3: Cross multiply
    493,477.80x = 740,562.30 × 213,196.20
  4. Step 4: Simplify right side
    493,477.80x = 157,885,068,223.26
  5. Step 5: Solve for x
    x = 157,885,068,223.26/493,477.80
  6. Step 6: Final answer
    x = 319,943.61

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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.