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Finding the Fourth Proportional to 299,341.28, 413,434.63 and 218,031.81

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Solution

The fourth proportional to 299,341.28, 413,434.63 and 218,031.81 is: 301,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,341.28 : 413,434.63 = 218,031.81 : x
  2. Step 2: Convert to fraction form
    299,341.28/413,434.63 = 218,031.81/x
  3. Step 3: Cross multiply
    299,341.28x = 413,434.63 × 218,031.81
  4. Step 4: Simplify right side
    299,341.28x = 90,141,897,538.25
  5. Step 5: Solve for x
    x = 90,141,897,538.25/299,341.28
  6. Step 6: Final answer
    x = 301,134.21

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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.