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Finding the Fourth Proportional to 305,533.54, 421,686.96 and 178,209.14

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Solution

The fourth proportional to 305,533.54, 421,686.96 and 178,209.14 is: 245,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,533.54 : 421,686.96 = 178,209.14 : x
  2. Step 2: Convert to fraction form
    305,533.54/421,686.96 = 178,209.14/x
  3. Step 3: Cross multiply
    305,533.54x = 421,686.96 × 178,209.14
  4. Step 4: Simplify right side
    305,533.54x = 75,148,470,490.81
  5. Step 5: Solve for x
    x = 75,148,470,490.81/305,533.54
  6. Step 6: Final answer
    x = 245,958.17

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1.5x scale

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.