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Finding the Fourth Proportional to 299,574.16, 413,581.08 and 207,826

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Solution

The fourth proportional to 299,574.16, 413,581.08 and 207,826 is: 286,916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,574.16 : 413,581.08 = 207,826 : x
  2. Step 2: Convert to fraction form
    299,574.16/413,581.08 = 207,826/x
  3. Step 3: Cross multiply
    299,574.16x = 413,581.08 × 207,826
  4. Step 4: Simplify right side
    299,574.16x = 85,952,901,532.08
  5. Step 5: Solve for x
    x = 85,952,901,532.08/299,574.16
  6. Step 6: Final answer
    x = 286,916.94

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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.