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Finding the Fourth Proportional to 613,136.58, 919,892.13 and 313,829.22

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Solution

The fourth proportional to 613,136.58, 919,892.13 and 313,829.22 is: 470,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,136.58 : 919,892.13 = 313,829.22 : x
  2. Step 2: Convert to fraction form
    613,136.58/919,892.13 = 313,829.22/x
  3. Step 3: Cross multiply
    613,136.58x = 919,892.13 × 313,829.22
  4. Step 4: Simplify right side
    613,136.58x = 288,689,029,642.04
  5. Step 5: Solve for x
    x = 288,689,029,642.04/613,136.58
  6. Step 6: Final answer
    x = 470,839.68

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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.