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Finding the Fourth Proportional to 402,316.80, 603,091.20 and 149,529.60

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Solution

The fourth proportional to 402,316.80, 603,091.20 and 149,529.60 is: 224,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,316.80 : 603,091.20 = 149,529.60 : x
  2. Step 2: Convert to fraction form
    402,316.80/603,091.20 = 149,529.60/x
  3. Step 3: Cross multiply
    402,316.80x = 603,091.20 × 149,529.60
  4. Step 4: Simplify right side
    402,316.80x = 90,179,985,899.52
  5. Step 5: Solve for x
    x = 90,179,985,899.52/402,316.80
  6. Step 6: Final answer
    x = 224,151.68

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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.