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Finding the Fourth Proportional to 313,361.13, 470,109.15 and 97,215.47

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Solution

The fourth proportional to 313,361.13, 470,109.15 and 97,215.47 is: 145,844.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,361.13 : 470,109.15 = 97,215.47 : x
  2. Step 2: Convert to fraction form
    313,361.13/470,109.15 = 97,215.47/x
  3. Step 3: Cross multiply
    313,361.13x = 470,109.15 × 97,215.47
  4. Step 4: Simplify right side
    313,361.13x = 45,701,881,968.55
  5. Step 5: Solve for x
    x = 45,701,881,968.55/313,361.13
  6. Step 6: Final answer
    x = 145,844.13

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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.