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Finding the Fourth Proportional to 458,547.28, 687,717.96 and 192,608.08

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Solution

The fourth proportional to 458,547.28, 687,717.96 and 192,608.08 is: 288,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,547.28 : 687,717.96 = 192,608.08 : x
  2. Step 2: Convert to fraction form
    458,547.28/687,717.96 = 192,608.08/x
  3. Step 3: Cross multiply
    458,547.28x = 687,717.96 × 192,608.08
  4. Step 4: Simplify right side
    458,547.28x = 132,460,035,857.12
  5. Step 5: Solve for x
    x = 132,460,035,857.12/458,547.28
  6. Step 6: Final answer
    x = 288,868.87

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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.