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Finding the Fourth Proportional to 313,820.88, 470,681.70 and 136,280.22

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Solution

The fourth proportional to 313,820.88, 470,681.70 and 136,280.22 is: 204,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,820.88 : 470,681.70 = 136,280.22 : x
  2. Step 2: Convert to fraction form
    313,820.88/470,681.70 = 136,280.22/x
  3. Step 3: Cross multiply
    313,820.88x = 470,681.70 × 136,280.22
  4. Step 4: Simplify right side
    313,820.88x = 64,144,605,625.97
  5. Step 5: Solve for x
    x = 64,144,605,625.97/313,820.88
  6. Step 6: Final answer
    x = 204,398.78

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1.5x scale

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.