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Finding the Fourth Proportional to 213,690.86, 320,536.74 and 146,929.04

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Solution

The fourth proportional to 213,690.86, 320,536.74 and 146,929.04 is: 220,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,690.86 : 320,536.74 = 146,929.04 : x
  2. Step 2: Convert to fraction form
    213,690.86/320,536.74 = 146,929.04/x
  3. Step 3: Cross multiply
    213,690.86x = 320,536.74 × 146,929.04
  4. Step 4: Simplify right side
    213,690.86x = 47,096,155,643.24
  5. Step 5: Solve for x
    x = 47,096,155,643.24/213,690.86
  6. Step 6: Final answer
    x = 220,393.87

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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.