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Finding the Fourth Proportional to 192,920.44, 289,428 and 155,816.74

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Solution

The fourth proportional to 192,920.44, 289,428 and 155,816.74 is: 233,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,920.44 : 289,428 = 155,816.74 : x
  2. Step 2: Convert to fraction form
    192,920.44/289,428 = 155,816.74/x
  3. Step 3: Cross multiply
    192,920.44x = 289,428 × 155,816.74
  4. Step 4: Simplify right side
    192,920.44x = 45,097,727,424.72
  5. Step 5: Solve for x
    x = 45,097,727,424.72/192,920.44
  6. Step 6: Final answer
    x = 233,763.35

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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.