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Finding the Fourth Proportional to 376,179.65, 564,112.74 and 139,393.16

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Solution

The fourth proportional to 376,179.65, 564,112.74 and 139,393.16 is: 209,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,179.65 : 564,112.74 = 139,393.16 : x
  2. Step 2: Convert to fraction form
    376,179.65/564,112.74 = 139,393.16/x
  3. Step 3: Cross multiply
    376,179.65x = 564,112.74 × 139,393.16
  4. Step 4: Simplify right side
    376,179.65x = 78,633,457,424.86
  5. Step 5: Solve for x
    x = 78,633,457,424.86/376,179.65
  6. Step 6: Final answer
    x = 209,031.66

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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.