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Finding the Fourth Proportional to 290,005.20, 435,095.28 and 195,614.28

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Solution

The fourth proportional to 290,005.20, 435,095.28 and 195,614.28 is: 293,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,005.20 : 435,095.28 = 195,614.28 : x
  2. Step 2: Convert to fraction form
    290,005.20/435,095.28 = 195,614.28/x
  3. Step 3: Cross multiply
    290,005.20x = 435,095.28 × 195,614.28
  4. Step 4: Simplify right side
    290,005.20x = 85,110,849,928.60
  5. Step 5: Solve for x
    x = 85,110,849,928.60/290,005.20
  6. Step 6: Final answer
    x = 293,480.43

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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.