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Finding the Fourth Proportional to 499,373.52, 689,177.40 and 305,780.28

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Solution

The fourth proportional to 499,373.52, 689,177.40 and 305,780.28 is: 422,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,373.52 : 689,177.40 = 305,780.28 : x
  2. Step 2: Convert to fraction form
    499,373.52/689,177.40 = 305,780.28/x
  3. Step 3: Cross multiply
    499,373.52x = 689,177.40 × 305,780.28
  4. Step 4: Simplify right side
    499,373.52x = 210,736,858,341.67
  5. Step 5: Solve for x
    x = 210,736,858,341.67/499,373.52
  6. Step 6: Final answer
    x = 422,002.47

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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.