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Finding the Fourth Proportional to 259,188.16, 388,815.20 and 101,396.40

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Solution

The fourth proportional to 259,188.16, 388,815.20 and 101,396.40 is: 152,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,188.16 : 388,815.20 = 101,396.40 : x
  2. Step 2: Convert to fraction form
    259,188.16/388,815.20 = 101,396.40/x
  3. Step 3: Cross multiply
    259,188.16x = 388,815.20 × 101,396.40
  4. Step 4: Simplify right side
    259,188.16x = 39,424,461,545.28
  5. Step 5: Solve for x
    x = 39,424,461,545.28/259,188.16
  6. Step 6: Final answer
    x = 152,107.49

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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.