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Finding the Fourth Proportional to 496,598.14, 685,258.02 and 278,756.92

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Solution

The fourth proportional to 496,598.14, 685,258.02 and 278,756.92 is: 384,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,598.14 : 685,258.02 = 278,756.92 : x
  2. Step 2: Convert to fraction form
    496,598.14/685,258.02 = 278,756.92/x
  3. Step 3: Cross multiply
    496,598.14x = 685,258.02 × 278,756.92
  4. Step 4: Simplify right side
    496,598.14x = 191,020,415,060.50
  5. Step 5: Solve for x
    x = 191,020,415,060.50/496,598.14
  6. Step 6: Final answer
    x = 384,657.94

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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.