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Finding the Fourth Proportional to 313,561.76, 432,702.96 and 186,234.08

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Solution

The fourth proportional to 313,561.76, 432,702.96 and 186,234.08 is: 256,995.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,561.76 : 432,702.96 = 186,234.08 : x
  2. Step 2: Convert to fraction form
    313,561.76/432,702.96 = 186,234.08/x
  3. Step 3: Cross multiply
    313,561.76x = 432,702.96 × 186,234.08
  4. Step 4: Simplify right side
    313,561.76x = 80,584,037,668.88
  5. Step 5: Solve for x
    x = 80,584,037,668.88/313,561.76
  6. Step 6: Final answer
    x = 256,995.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.