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Finding the Fourth Proportional to 352,120, 528,047.30 and 127,424.86

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Solution

The fourth proportional to 352,120, 528,047.30 and 127,424.86 is: 191,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,120 : 528,047.30 = 127,424.86 : x
  2. Step 2: Convert to fraction form
    352,120/528,047.30 = 127,424.86/x
  3. Step 3: Cross multiply
    352,120x = 528,047.30 × 127,424.86
  4. Step 4: Simplify right side
    352,120x = 67,286,353,275.88
  5. Step 5: Solve for x
    x = 67,286,353,275.88/352,120
  6. Step 6: Final answer
    x = 191,089.27

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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.