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Finding the Fourth Proportional to 610,523.02, 842,572.20 and 338,678.56

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Solution

The fourth proportional to 610,523.02, 842,572.20 and 338,678.56 is: 467,404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,523.02 : 842,572.20 = 338,678.56 : x
  2. Step 2: Convert to fraction form
    610,523.02/842,572.20 = 338,678.56/x
  3. Step 3: Cross multiply
    610,523.02x = 842,572.20 × 338,678.56
  4. Step 4: Simplify right side
    610,523.02x = 285,361,139,392.03
  5. Step 5: Solve for x
    x = 285,361,139,392.03/610,523.02
  6. Step 6: Final answer
    x = 467,404.39

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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.