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Finding the Fourth Proportional to 299,411.81, 413,090.17 and 213,384.34

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Solution

The fourth proportional to 299,411.81, 413,090.17 and 213,384.34 is: 294,400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,411.81 : 413,090.17 = 213,384.34 : x
  2. Step 2: Convert to fraction form
    299,411.81/413,090.17 = 213,384.34/x
  3. Step 3: Cross multiply
    299,411.81x = 413,090.17 × 213,384.34
  4. Step 4: Simplify right side
    299,411.81x = 88,146,973,285.94
  5. Step 5: Solve for x
    x = 88,146,973,285.94/299,411.81
  6. Step 6: Final answer
    x = 294,400.46

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1.5x scale

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.