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Finding the Fourth Proportional to 647,013.20, 971,394.60 and 410,817.20

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Solution

The fourth proportional to 647,013.20, 971,394.60 and 410,817.20 is: 616,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,013.20 : 971,394.60 = 410,817.20 : x
  2. Step 2: Convert to fraction form
    647,013.20/971,394.60 = 410,817.20/x
  3. Step 3: Cross multiply
    647,013.20x = 971,394.60 × 410,817.20
  4. Step 4: Simplify right side
    647,013.20x = 399,065,609,667.12
  5. Step 5: Solve for x
    x = 399,065,609,667.12/647,013.20
  6. Step 6: Final answer
    x = 616,781.25

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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.