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Finding the Fourth Proportional to 686,939.33, 948,301.76 and 457,878.42

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Solution

The fourth proportional to 686,939.33, 948,301.76 and 457,878.42 is: 632,089.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,939.33 : 948,301.76 = 457,878.42 : x
  2. Step 2: Convert to fraction form
    686,939.33/948,301.76 = 457,878.42/x
  3. Step 3: Cross multiply
    686,939.33x = 948,301.76 × 457,878.42
  4. Step 4: Simplify right side
    686,939.33x = 434,206,912,696.72
  5. Step 5: Solve for x
    x = 434,206,912,696.72/686,939.33
  6. Step 6: Final answer
    x = 632,089.17

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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.