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Finding the Fourth Proportional to 394,708.68, 591,802.74 and 141,862.32

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Solution

The fourth proportional to 394,708.68, 591,802.74 and 141,862.32 is: 212,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,708.68 : 591,802.74 = 141,862.32 : x
  2. Step 2: Convert to fraction form
    394,708.68/591,802.74 = 141,862.32/x
  3. Step 3: Cross multiply
    394,708.68x = 591,802.74 × 141,862.32
  4. Step 4: Simplify right side
    394,708.68x = 83,954,509,678.76
  5. Step 5: Solve for x
    x = 83,954,509,678.76/394,708.68
  6. Step 6: Final answer
    x = 212,699.93

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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.