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Finding the Fourth Proportional to 320,006.22, 480,271.78 and 162,279.78

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Solution

The fourth proportional to 320,006.22, 480,271.78 and 162,279.78 is: 243,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,006.22 : 480,271.78 = 162,279.78 : x
  2. Step 2: Convert to fraction form
    320,006.22/480,271.78 = 162,279.78/x
  3. Step 3: Cross multiply
    320,006.22x = 480,271.78 × 162,279.78
  4. Step 4: Simplify right side
    320,006.22x = 77,938,398,798.61
  5. Step 5: Solve for x
    x = 77,938,398,798.61/320,006.22
  6. Step 6: Final answer
    x = 243,552.76

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1.5x scale

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.