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Finding the Fourth Proportional to 399,345.12, 598,721.76 and 188,737.02

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Solution

The fourth proportional to 399,345.12, 598,721.76 and 188,737.02 is: 282,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,345.12 : 598,721.76 = 188,737.02 : x
  2. Step 2: Convert to fraction form
    399,345.12/598,721.76 = 188,737.02/x
  3. Step 3: Cross multiply
    399,345.12x = 598,721.76 × 188,737.02
  4. Step 4: Simplify right side
    399,345.12x = 113,000,960,791.56
  5. Step 5: Solve for x
    x = 113,000,960,791.56/399,345.12
  6. Step 6: Final answer
    x = 282,965.67

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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.