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Finding the Fourth Proportional to 499,357.80, 689,069.70 and 284,489.64

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Solution

The fourth proportional to 499,357.80, 689,069.70 and 284,489.64 is: 392,570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,357.80 : 689,069.70 = 284,489.64 : x
  2. Step 2: Convert to fraction form
    499,357.80/689,069.70 = 284,489.64/x
  3. Step 3: Cross multiply
    499,357.80x = 689,069.70 × 284,489.64
  4. Step 4: Simplify right side
    499,357.80x = 196,033,190,887.91
  5. Step 5: Solve for x
    x = 196,033,190,887.91/499,357.80
  6. Step 6: Final answer
    x = 392,570.60

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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.