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Finding the Fourth Proportional to 313,521.60, 470,363.40 and 135,987.96

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Solution

The fourth proportional to 313,521.60, 470,363.40 and 135,987.96 is: 204,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,521.60 : 470,363.40 = 135,987.96 : x
  2. Step 2: Convert to fraction form
    313,521.60/470,363.40 = 135,987.96/x
  3. Step 3: Cross multiply
    313,521.60x = 470,363.40 × 135,987.96
  4. Step 4: Simplify right side
    313,521.60x = 63,963,759,224.66
  5. Step 5: Solve for x
    x = 63,963,759,224.66/313,521.60
  6. Step 6: Final answer
    x = 204,017.07

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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.