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Finding the Fourth Proportional to 971,213.40, 1,456,820.10 and 770,446.80

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Solution

The fourth proportional to 971,213.40, 1,456,820.10 and 770,446.80 is: 1,155,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,213.40 : 1,456,820.10 = 770,446.80 : x
  2. Step 2: Convert to fraction form
    971,213.40/1,456,820.10 = 770,446.80/x
  3. Step 3: Cross multiply
    971,213.40x = 1,456,820.10 × 770,446.80
  4. Step 4: Simplify right side
    971,213.40x = 1,122,402,384,220.68
  5. Step 5: Solve for x
    x = 1,122,402,384,220.68/971,213.40
  6. Step 6: Final answer
    x = 1,155,670.20

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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.