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Finding the Fourth Proportional to 402,396.30, 603,210.45 and 149,609.10

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Solution

The fourth proportional to 402,396.30, 603,210.45 and 149,609.10 is: 224,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,396.30 : 603,210.45 = 149,609.10 : x
  2. Step 2: Convert to fraction form
    402,396.30/603,210.45 = 149,609.10/x
  3. Step 3: Cross multiply
    402,396.30x = 603,210.45 × 149,609.10
  4. Step 4: Simplify right side
    402,396.30x = 90,245,772,535.10
  5. Step 5: Solve for x
    x = 90,245,772,535.10/402,396.30
  6. Step 6: Final answer
    x = 224,270.88

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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.