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Finding the Fourth Proportional to 670,705.92, 925,642.08 and 384,264

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Solution

The fourth proportional to 670,705.92, 925,642.08 and 384,264 is: 530,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,705.92 : 925,642.08 = 384,264 : x
  2. Step 2: Convert to fraction form
    670,705.92/925,642.08 = 384,264/x
  3. Step 3: Cross multiply
    670,705.92x = 925,642.08 × 384,264
  4. Step 4: Simplify right side
    670,705.92x = 355,690,928,229.12
  5. Step 5: Solve for x
    x = 355,690,928,229.12/670,705.92
  6. Step 6: Final answer
    x = 530,323.23

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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.