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Finding the Fourth Proportional to 302,540.22, 453,812.90 and 86,398.40

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Solution

The fourth proportional to 302,540.22, 453,812.90 and 86,398.40 is: 129,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,540.22 : 453,812.90 = 86,398.40 : x
  2. Step 2: Convert to fraction form
    302,540.22/453,812.90 = 86,398.40/x
  3. Step 3: Cross multiply
    302,540.22x = 453,812.90 × 86,398.40
  4. Step 4: Simplify right side
    302,540.22x = 39,208,709,161.90
  5. Step 5: Solve for x
    x = 39,208,709,161.90/302,540.22
  6. Step 6: Final answer
    x = 129,598.34

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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.