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Finding the Fourth Proportional to 320,006.80, 480,010.20 and 315,341.20

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Solution

The fourth proportional to 320,006.80, 480,010.20 and 315,341.20 is: 473,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,006.80 : 480,010.20 = 315,341.20 : x
  2. Step 2: Convert to fraction form
    320,006.80/480,010.20 = 315,341.20/x
  3. Step 3: Cross multiply
    320,006.80x = 480,010.20 × 315,341.20
  4. Step 4: Simplify right side
    320,006.80x = 151,366,992,480.24
  5. Step 5: Solve for x
    x = 151,366,992,480.24/320,006.80
  6. Step 6: Final answer
    x = 473,011.80

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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.