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Finding the Fourth Proportional to 613,614.40, 920,045.76 and 239,200

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Solution

The fourth proportional to 613,614.40, 920,045.76 and 239,200 is: 358,653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,614.40 : 920,045.76 = 239,200 : x
  2. Step 2: Convert to fraction form
    613,614.40/920,045.76 = 239,200/x
  3. Step 3: Cross multiply
    613,614.40x = 920,045.76 × 239,200
  4. Step 4: Simplify right side
    613,614.40x = 220,074,945,792
  5. Step 5: Solve for x
    x = 220,074,945,792/613,614.40
  6. Step 6: Final answer
    x = 358,653.49

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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.