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Finding the Fourth Proportional to 304,356.78, 420,146.91 and 181,892.40

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Solution

The fourth proportional to 304,356.78, 420,146.91 and 181,892.40 is: 251,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,356.78 : 420,146.91 = 181,892.40 : x
  2. Step 2: Convert to fraction form
    304,356.78/420,146.91 = 181,892.40/x
  3. Step 3: Cross multiply
    304,356.78x = 420,146.91 × 181,892.40
  4. Step 4: Simplify right side
    304,356.78x = 76,421,529,812.48
  5. Step 5: Solve for x
    x = 76,421,529,812.48/304,356.78
  6. Step 6: Final answer
    x = 251,091.93

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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.