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Finding the Fourth Proportional to 402,359.05, 603,582.30 and 149,609.89

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Solution

The fourth proportional to 402,359.05, 603,582.30 and 149,609.89 is: 224,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,359.05 : 603,582.30 = 149,609.89 : x
  2. Step 2: Convert to fraction form
    402,359.05/603,582.30 = 149,609.89/x
  3. Step 3: Cross multiply
    402,359.05x = 603,582.30 × 149,609.89
  4. Step 4: Simplify right side
    402,359.05x = 90,301,881,508.95
  5. Step 5: Solve for x
    x = 90,301,881,508.95/402,359.05
  6. Step 6: Final answer
    x = 224,431.09

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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.