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Finding the Fourth Proportional to 499,947.36, 689,209.60 and 356,458.28

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Solution

The fourth proportional to 499,947.36, 689,209.60 and 356,458.28 is: 491,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,947.36 : 689,209.60 = 356,458.28 : x
  2. Step 2: Convert to fraction form
    499,947.36/689,209.60 = 356,458.28/x
  3. Step 3: Cross multiply
    499,947.36x = 689,209.60 × 356,458.28
  4. Step 4: Simplify right side
    499,947.36x = 245,674,468,575.49
  5. Step 5: Solve for x
    x = 245,674,468,575.49/499,947.36
  6. Step 6: Final answer
    x = 491,400.67

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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.