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Finding the Fourth Proportional to 406,030.74, 609,042.75 and 317,358.78

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Solution

The fourth proportional to 406,030.74, 609,042.75 and 317,358.78 is: 476,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,030.74 : 609,042.75 = 317,358.78 : x
  2. Step 2: Convert to fraction form
    406,030.74/609,042.75 = 317,358.78/x
  3. Step 3: Cross multiply
    406,030.74x = 609,042.75 × 317,358.78
  4. Step 4: Simplify right side
    406,030.74x = 193,285,064,107.85
  5. Step 5: Solve for x
    x = 193,285,064,107.85/406,030.74
  6. Step 6: Final answer
    x = 476,035.54

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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.