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Finding the Fourth Proportional to 646,138.40, 970,244.40 and 436,704.80

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Solution

The fourth proportional to 646,138.40, 970,244.40 and 436,704.80 is: 655,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,138.40 : 970,244.40 = 436,704.80 : x
  2. Step 2: Convert to fraction form
    646,138.40/970,244.40 = 436,704.80/x
  3. Step 3: Cross multiply
    646,138.40x = 970,244.40 × 436,704.80
  4. Step 4: Simplify right side
    646,138.40x = 423,710,386,653.12
  5. Step 5: Solve for x
    x = 423,710,386,653.12/646,138.40
  6. Step 6: Final answer
    x = 655,757.94

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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.