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Finding the Fourth Proportional to 313,384.51, 470,263.55 and 113,720.47

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Solution

The fourth proportional to 313,384.51, 470,263.55 and 113,720.47 is: 170,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,384.51 : 470,263.55 = 113,720.47 : x
  2. Step 2: Convert to fraction form
    313,384.51/470,263.55 = 113,720.47/x
  3. Step 3: Cross multiply
    313,384.51x = 470,263.55 × 113,720.47
  4. Step 4: Simplify right side
    313,384.51x = 53,478,590,185.61
  5. Step 5: Solve for x
    x = 53,478,590,185.61/313,384.51
  6. Step 6: Final answer
    x = 170,648.48

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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.