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Finding the Fourth Proportional to 523,930, 723,023.40 and 285,466

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Solution

The fourth proportional to 523,930, 723,023.40 and 285,466 is: 393,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,930 : 723,023.40 = 285,466 : x
  2. Step 2: Convert to fraction form
    523,930/723,023.40 = 285,466/x
  3. Step 3: Cross multiply
    523,930x = 723,023.40 × 285,466
  4. Step 4: Simplify right side
    523,930x = 206,398,597,904.40
  5. Step 5: Solve for x
    x = 206,398,597,904.40/523,930
  6. Step 6: Final answer
    x = 393,943.08

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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.