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Finding the Fourth Proportional to 499,071.73, 688,732.79 and 305,475.58

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Solution

The fourth proportional to 499,071.73, 688,732.79 and 305,475.58 is: 421,564.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,071.73 : 688,732.79 = 305,475.58 : x
  2. Step 2: Convert to fraction form
    499,071.73/688,732.79 = 305,475.58/x
  3. Step 3: Cross multiply
    499,071.73x = 688,732.79 × 305,475.58
  4. Step 4: Simplify right side
    499,071.73x = 210,391,048,490.27
  5. Step 5: Solve for x
    x = 210,391,048,490.27/499,071.73
  6. Step 6: Final answer
    x = 421,564.75

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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.