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Finding the Fourth Proportional to 431,368.40, 646,937.40 and 150,856.40

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Solution

The fourth proportional to 431,368.40, 646,937.40 and 150,856.40 is: 226,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,368.40 : 646,937.40 = 150,856.40 : x
  2. Step 2: Convert to fraction form
    431,368.40/646,937.40 = 150,856.40/x
  3. Step 3: Cross multiply
    431,368.40x = 646,937.40 × 150,856.40
  4. Step 4: Simplify right side
    431,368.40x = 97,594,647,189.36
  5. Step 5: Solve for x
    x = 97,594,647,189.36/431,368.40
  6. Step 6: Final answer
    x = 226,244.31

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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.