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Finding the Fourth Proportional to 493,307.13, 739,661.05 and 193,428.43

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Solution

The fourth proportional to 493,307.13, 739,661.05 and 193,428.43 is: 290,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,307.13 : 739,661.05 = 193,428.43 : x
  2. Step 2: Convert to fraction form
    493,307.13/739,661.05 = 193,428.43/x
  3. Step 3: Cross multiply
    493,307.13x = 739,661.05 × 193,428.43
  4. Step 4: Simplify right side
    493,307.13x = 143,071,475,633.65
  5. Step 5: Solve for x
    x = 143,071,475,633.65/493,307.13
  6. Step 6: Final answer
    x = 290,025.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.