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Finding the Fourth Proportional to 272,296.80, 408,391.20 and 258,794.40

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Solution

The fourth proportional to 272,296.80, 408,391.20 and 258,794.40 is: 388,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,296.80 : 408,391.20 = 258,794.40 : x
  2. Step 2: Convert to fraction form
    272,296.80/408,391.20 = 258,794.40/x
  3. Step 3: Cross multiply
    272,296.80x = 408,391.20 × 258,794.40
  4. Step 4: Simplify right side
    272,296.80x = 105,689,355,569.28
  5. Step 5: Solve for x
    x = 105,689,355,569.28/272,296.80
  6. Step 6: Final answer
    x = 388,140.28

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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.