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Finding the Fourth Proportional to 947,596, 1,421,640.24 and 282,748

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Solution

The fourth proportional to 947,596, 1,421,640.24 and 282,748 is: 424,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,596 : 1,421,640.24 = 282,748 : x
  2. Step 2: Convert to fraction form
    947,596/1,421,640.24 = 282,748/x
  3. Step 3: Cross multiply
    947,596x = 1,421,640.24 × 282,748
  4. Step 4: Simplify right side
    947,596x = 401,965,934,579.52
  5. Step 5: Solve for x
    x = 401,965,934,579.52/947,596
  6. Step 6: Final answer
    x = 424,195.47

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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.