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Finding the Fourth Proportional to 1,298,593.90, 1,947,890.82 and 351,964.60

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Solution

The fourth proportional to 1,298,593.90, 1,947,890.82 and 351,964.60 is: 527,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,593.90 : 1,947,890.82 = 351,964.60 : x
  2. Step 2: Convert to fraction form
    1,298,593.90/1,947,890.82 = 351,964.60/x
  3. Step 3: Cross multiply
    1,298,593.90x = 1,947,890.82 × 351,964.60
  4. Step 4: Simplify right side
    1,298,593.90x = 685,588,613,304.97
  5. Step 5: Solve for x
    x = 685,588,613,304.97/1,298,593.90
  6. Step 6: Final answer
    x = 527,946.89

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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.