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Finding the Fourth Proportional to 509,513.94, 703,112.13 and 283,154.58

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Solution

The fourth proportional to 509,513.94, 703,112.13 and 283,154.58 is: 390,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,513.94 : 703,112.13 = 283,154.58 : x
  2. Step 2: Convert to fraction form
    509,513.94/703,112.13 = 283,154.58/x
  3. Step 3: Cross multiply
    509,513.94x = 703,112.13 × 283,154.58
  4. Step 4: Simplify right side
    509,513.94x = 199,089,419,863.06
  5. Step 5: Solve for x
    x = 199,089,419,863.06/509,513.94
  6. Step 6: Final answer
    x = 390,743.81

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1.5x scale

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.