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Finding the Fourth Proportional to 1,217,472, 1,680,117.12 and 680,928

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Solution

The fourth proportional to 1,217,472, 1,680,117.12 and 680,928 is: 939,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,472 : 1,680,117.12 = 680,928 : x
  2. Step 2: Convert to fraction form
    1,217,472/1,680,117.12 = 680,928/x
  3. Step 3: Cross multiply
    1,217,472x = 1,680,117.12 × 680,928
  4. Step 4: Simplify right side
    1,217,472x = 1,144,038,790,287.36
  5. Step 5: Solve for x
    x = 1,144,038,790,287.36/1,217,472
  6. Step 6: Final answer
    x = 939,683.86

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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.