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Finding the Fourth Proportional to 499,698.68, 748,346.86 and 285,818.36

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Solution

The fourth proportional to 499,698.68, 748,346.86 and 285,818.36 is: 428,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,698.68 : 748,346.86 = 285,818.36 : x
  2. Step 2: Convert to fraction form
    499,698.68/748,346.86 = 285,818.36/x
  3. Step 3: Cross multiply
    499,698.68x = 748,346.86 × 285,818.36
  4. Step 4: Simplify right side
    499,698.68x = 213,891,272,236.35
  5. Step 5: Solve for x
    x = 213,891,272,236.35/499,698.68
  6. Step 6: Final answer
    x = 428,040.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.