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Finding the Fourth Proportional to 408,962.40, 613,370.70 and 258,934.20

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Solution

The fourth proportional to 408,962.40, 613,370.70 and 258,934.20 is: 388,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,962.40 : 613,370.70 = 258,934.20 : x
  2. Step 2: Convert to fraction form
    408,962.40/613,370.70 = 258,934.20/x
  3. Step 3: Cross multiply
    408,962.40x = 613,370.70 × 258,934.20
  4. Step 4: Simplify right side
    408,962.40x = 158,822,651,507.94
  5. Step 5: Solve for x
    x = 158,822,651,507.94/408,962.40
  6. Step 6: Final answer
    x = 388,355.14

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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.