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Finding the Fourth Proportional to 460,742.96, 690,829.32 and 179,930

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Solution

The fourth proportional to 460,742.96, 690,829.32 and 179,930 is: 269,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,742.96 : 690,829.32 = 179,930 : x
  2. Step 2: Convert to fraction form
    460,742.96/690,829.32 = 179,930/x
  3. Step 3: Cross multiply
    460,742.96x = 690,829.32 × 179,930
  4. Step 4: Simplify right side
    460,742.96x = 124,300,919,547.60
  5. Step 5: Solve for x
    x = 124,300,919,547.60/460,742.96
  6. Step 6: Final answer
    x = 269,783.65

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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.