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Finding the Fourth Proportional to 313,908.90, 470,972.70 and 136,543.20

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Solution

The fourth proportional to 313,908.90, 470,972.70 and 136,543.20 is: 204,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,908.90 : 470,972.70 = 136,543.20 : x
  2. Step 2: Convert to fraction form
    313,908.90/470,972.70 = 136,543.20/x
  3. Step 3: Cross multiply
    313,908.90x = 470,972.70 × 136,543.20
  4. Step 4: Simplify right side
    313,908.90x = 64,308,119,570.64
  5. Step 5: Solve for x
    x = 64,308,119,570.64/313,908.90
  6. Step 6: Final answer
    x = 204,862.36

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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.