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Finding the Fourth Proportional to 381,368.49, 572,238.63 and 156,796.40

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Solution

The fourth proportional to 381,368.49, 572,238.63 and 156,796.40 is: 235,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,368.49 : 572,238.63 = 156,796.40 : x
  2. Step 2: Convert to fraction form
    381,368.49/572,238.63 = 156,796.40/x
  3. Step 3: Cross multiply
    381,368.49x = 572,238.63 × 156,796.40
  4. Step 4: Simplify right side
    381,368.49x = 89,724,957,124.93
  5. Step 5: Solve for x
    x = 89,724,957,124.93/381,368.49
  6. Step 6: Final answer
    x = 235,271.03

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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.