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Finding the Fourth Proportional to 306,470.66, 423,137.88 and 191,795.76

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Solution

The fourth proportional to 306,470.66, 423,137.88 and 191,795.76 is: 264,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,470.66 : 423,137.88 = 191,795.76 : x
  2. Step 2: Convert to fraction form
    306,470.66/423,137.88 = 191,795.76/x
  3. Step 3: Cross multiply
    306,470.66x = 423,137.88 × 191,795.76
  4. Step 4: Simplify right side
    306,470.66x = 81,156,051,279.39
  5. Step 5: Solve for x
    x = 81,156,051,279.39/306,470.66
  6. Step 6: Final answer
    x = 264,808.55

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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.