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Finding the Fourth Proportional to 320,421.30, 480,211.49 and 235,785.17

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Solution

The fourth proportional to 320,421.30, 480,211.49 and 235,785.17 is: 353,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,421.30 : 480,211.49 = 235,785.17 : x
  2. Step 2: Convert to fraction form
    320,421.30/480,211.49 = 235,785.17/x
  3. Step 3: Cross multiply
    320,421.30x = 480,211.49 × 235,785.17
  4. Step 4: Simplify right side
    320,421.30x = 113,226,744,225.62
  5. Step 5: Solve for x
    x = 113,226,744,225.62/320,421.30
  6. Step 6: Final answer
    x = 353,368.34

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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.