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Finding the Fourth Proportional to 381,176.16, 571,816.94 and 128,528.93

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Solution

The fourth proportional to 381,176.16, 571,816.94 and 128,528.93 is: 192,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,176.16 : 571,816.94 = 128,528.93 : x
  2. Step 2: Convert to fraction form
    381,176.16/571,816.94 = 128,528.93/x
  3. Step 3: Cross multiply
    381,176.16x = 571,816.94 × 128,528.93
  4. Step 4: Simplify right side
    381,176.16x = 73,495,015,952.34
  5. Step 5: Solve for x
    x = 73,495,015,952.34/381,176.16
  6. Step 6: Final answer
    x = 192,811.16

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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.