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Finding the Fourth Proportional to 313,632.47, 470,377.76 and 145,060.29

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Solution

The fourth proportional to 313,632.47, 470,377.76 and 145,060.29 is: 217,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,632.47 : 470,377.76 = 145,060.29 : x
  2. Step 2: Convert to fraction form
    313,632.47/470,377.76 = 145,060.29/x
  3. Step 3: Cross multiply
    313,632.47x = 470,377.76 × 145,060.29
  4. Step 4: Simplify right side
    313,632.47x = 68,233,134,637.80
  5. Step 5: Solve for x
    x = 68,233,134,637.80/313,632.47
  6. Step 6: Final answer
    x = 217,557.63

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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.