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Finding the Fourth Proportional to 371,831.84, 513,127.91 and 202,065.96

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Solution

The fourth proportional to 371,831.84, 513,127.91 and 202,065.96 is: 278,851.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,831.84 : 513,127.91 = 202,065.96 : x
  2. Step 2: Convert to fraction form
    371,831.84/513,127.91 = 202,065.96/x
  3. Step 3: Cross multiply
    371,831.84x = 513,127.91 × 202,065.96
  4. Step 4: Simplify right side
    371,831.84x = 103,685,682,726.61
  5. Step 5: Solve for x
    x = 103,685,682,726.61/371,831.84
  6. Step 6: Final answer
    x = 278,851.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.