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Finding the Fourth Proportional to 723,136.09, 997,822.92 and 400,846

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Solution

The fourth proportional to 723,136.09, 997,822.92 and 400,846 is: 553,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,136.09 : 997,822.92 = 400,846 : x
  2. Step 2: Convert to fraction form
    723,136.09/997,822.92 = 400,846/x
  3. Step 3: Cross multiply
    723,136.09x = 997,822.92 × 400,846
  4. Step 4: Simplify right side
    723,136.09x = 399,973,326,190.32
  5. Step 5: Solve for x
    x = 399,973,326,190.32/723,136.09
  6. Step 6: Final answer
    x = 553,109.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.