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Finding the Fourth Proportional to 380,065.90, 569,964.45 and 130,689.90

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Solution

The fourth proportional to 380,065.90, 569,964.45 and 130,689.90 is: 195,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,065.90 : 569,964.45 = 130,689.90 : x
  2. Step 2: Convert to fraction form
    380,065.90/569,964.45 = 130,689.90/x
  3. Step 3: Cross multiply
    380,065.90x = 569,964.45 × 130,689.90
  4. Step 4: Simplify right side
    380,065.90x = 74,488,596,974.06
  5. Step 5: Solve for x
    x = 74,488,596,974.06/380,065.90
  6. Step 6: Final answer
    x = 195,988.64

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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.