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Finding the Fourth Proportional to 496,598.64, 685,258.71 and 278,757.42

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Solution

The fourth proportional to 496,598.64, 685,258.71 and 278,757.42 is: 384,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,598.64 : 685,258.71 = 278,757.42 : x
  2. Step 2: Convert to fraction form
    496,598.64/685,258.71 = 278,757.42/x
  3. Step 3: Cross multiply
    496,598.64x = 685,258.71 × 278,757.42
  4. Step 4: Simplify right side
    496,598.64x = 191,020,950,032.13
  5. Step 5: Solve for x
    x = 191,020,950,032.13/496,598.64
  6. Step 6: Final answer
    x = 384,658.62

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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.