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Finding the Fourth Proportional to 320,209.76, 480,342 and 95,555.72

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Solution

The fourth proportional to 320,209.76, 480,342 and 95,555.72 is: 143,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,209.76 : 480,342 = 95,555.72 : x
  2. Step 2: Convert to fraction form
    320,209.76/480,342 = 95,555.72/x
  3. Step 3: Cross multiply
    320,209.76x = 480,342 × 95,555.72
  4. Step 4: Simplify right side
    320,209.76x = 45,899,425,656.24
  5. Step 5: Solve for x
    x = 45,899,425,656.24/320,209.76
  6. Step 6: Final answer
    x = 143,341.74

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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.