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Finding the Fourth Proportional to 390,069.30, 585,160.65 and 165,429.30

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Solution

The fourth proportional to 390,069.30, 585,160.65 and 165,429.30 is: 248,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,069.30 : 585,160.65 = 165,429.30 : x
  2. Step 2: Convert to fraction form
    390,069.30/585,160.65 = 165,429.30/x
  3. Step 3: Cross multiply
    390,069.30x = 585,160.65 × 165,429.30
  4. Step 4: Simplify right side
    390,069.30x = 96,802,716,717.05
  5. Step 5: Solve for x
    x = 96,802,716,717.05/390,069.30
  6. Step 6: Final answer
    x = 248,168.00

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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.