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Finding the Fourth Proportional to 304,970.14, 420,809.80 and 191,712.70

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Solution

The fourth proportional to 304,970.14, 420,809.80 and 191,712.70 is: 264,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,970.14 : 420,809.80 = 191,712.70 : x
  2. Step 2: Convert to fraction form
    304,970.14/420,809.80 = 191,712.70/x
  3. Step 3: Cross multiply
    304,970.14x = 420,809.80 × 191,712.70
  4. Step 4: Simplify right side
    304,970.14x = 80,674,582,944.46
  5. Step 5: Solve for x
    x = 80,674,582,944.46/304,970.14
  6. Step 6: Final answer
    x = 264,532.73

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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.