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Finding the Fourth Proportional to 342,009.94, 512,990.58 and 105,327.94

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Solution

The fourth proportional to 342,009.94, 512,990.58 and 105,327.94 is: 157,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,009.94 : 512,990.58 = 105,327.94 : x
  2. Step 2: Convert to fraction form
    342,009.94/512,990.58 = 105,327.94/x
  3. Step 3: Cross multiply
    342,009.94x = 512,990.58 × 105,327.94
  4. Step 4: Simplify right side
    342,009.94x = 54,032,241,030.81
  5. Step 5: Solve for x
    x = 54,032,241,030.81/342,009.94
  6. Step 6: Final answer
    x = 157,984.42

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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.