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Finding the Fourth Proportional to 408,017.48, 613,059.54 and 258,328.16

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Solution

The fourth proportional to 408,017.48, 613,059.54 and 258,328.16 is: 388,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,017.48 : 613,059.54 = 258,328.16 : x
  2. Step 2: Convert to fraction form
    408,017.48/613,059.54 = 258,328.16/x
  3. Step 3: Cross multiply
    408,017.48x = 613,059.54 × 258,328.16
  4. Step 4: Simplify right side
    408,017.48x = 158,370,542,938.65
  5. Step 5: Solve for x
    x = 158,370,542,938.65/408,017.48
  6. Step 6: Final answer
    x = 388,146.47

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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.