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Finding the Fourth Proportional to 398,255.80, 596,399.55 and 264,411.40

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Solution

The fourth proportional to 398,255.80, 596,399.55 and 264,411.40 is: 395,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,255.80 : 596,399.55 = 264,411.40 : x
  2. Step 2: Convert to fraction form
    398,255.80/596,399.55 = 264,411.40/x
  3. Step 3: Cross multiply
    398,255.80x = 596,399.55 × 264,411.40
  4. Step 4: Simplify right side
    398,255.80x = 157,694,839,974.87
  5. Step 5: Solve for x
    x = 157,694,839,974.87/398,255.80
  6. Step 6: Final answer
    x = 395,963.70

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1.5x scale

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.