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Finding the Fourth Proportional to 402,353.20, 603,529.80 and 153,002.80

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Solution

The fourth proportional to 402,353.20, 603,529.80 and 153,002.80 is: 229,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,353.20 : 603,529.80 = 153,002.80 : x
  2. Step 2: Convert to fraction form
    402,353.20/603,529.80 = 153,002.80/x
  3. Step 3: Cross multiply
    402,353.20x = 603,529.80 × 153,002.80
  4. Step 4: Simplify right side
    402,353.20x = 92,341,749,283.44
  5. Step 5: Solve for x
    x = 92,341,749,283.44/402,353.20
  6. Step 6: Final answer
    x = 229,504.20

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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.