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Finding the Fourth Proportional to 259,592.80, 388,928.40 and 160,981.60

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Solution

The fourth proportional to 259,592.80, 388,928.40 and 160,981.60 is: 241,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,592.80 : 388,928.40 = 160,981.60 : x
  2. Step 2: Convert to fraction form
    259,592.80/388,928.40 = 160,981.60/x
  3. Step 3: Cross multiply
    259,592.80x = 388,928.40 × 160,981.60
  4. Step 4: Simplify right side
    259,592.80x = 62,610,316,117.44
  5. Step 5: Solve for x
    x = 62,610,316,117.44/259,592.80
  6. Step 6: Final answer
    x = 241,186.64

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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.