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Finding the Fourth Proportional to 523,931, 723,024.78 and 285,467

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Solution

The fourth proportional to 523,931, 723,024.78 and 285,467 is: 393,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,931 : 723,024.78 = 285,467 : x
  2. Step 2: Convert to fraction form
    523,931/723,024.78 = 285,467/x
  3. Step 3: Cross multiply
    523,931x = 723,024.78 × 285,467
  4. Step 4: Simplify right side
    523,931x = 206,399,714,872.26
  5. Step 5: Solve for x
    x = 206,399,714,872.26/523,931
  6. Step 6: Final answer
    x = 393,944.46

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1.5x scale

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.