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Finding the Fourth Proportional to 498,735.65, 688,259.57 and 283,889.54

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Solution

The fourth proportional to 498,735.65, 688,259.57 and 283,889.54 is: 391,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,735.65 : 688,259.57 = 283,889.54 : x
  2. Step 2: Convert to fraction form
    498,735.65/688,259.57 = 283,889.54/x
  3. Step 3: Cross multiply
    498,735.65x = 688,259.57 × 283,889.54
  4. Step 4: Simplify right side
    498,735.65x = 195,389,689,996.32
  5. Step 5: Solve for x
    x = 195,389,689,996.32/498,735.65
  6. Step 6: Final answer
    x = 391,770.05

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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.