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Finding the Fourth Proportional to 390,489.66, 585,824.40 and 165,857.22

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Solution

The fourth proportional to 390,489.66, 585,824.40 and 165,857.22 is: 248,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,489.66 : 585,824.40 = 165,857.22 : x
  2. Step 2: Convert to fraction form
    390,489.66/585,824.40 = 165,857.22/x
  3. Step 3: Cross multiply
    390,489.66x = 585,824.40 × 165,857.22
  4. Step 4: Simplify right side
    390,489.66x = 97,163,206,392.17
  5. Step 5: Solve for x
    x = 97,163,206,392.17/390,489.66
  6. Step 6: Final answer
    x = 248,824.02

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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.