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Finding the Fourth Proportional to 304,410.96, 420,058.53 and 206,094.21

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Solution

The fourth proportional to 304,410.96, 420,058.53 and 206,094.21 is: 284,390.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,410.96 : 420,058.53 = 206,094.21 : x
  2. Step 2: Convert to fraction form
    304,410.96/420,058.53 = 206,094.21/x
  3. Step 3: Cross multiply
    304,410.96x = 420,058.53 × 206,094.21
  4. Step 4: Simplify right side
    304,410.96x = 86,571,630,894.11
  5. Step 5: Solve for x
    x = 86,571,630,894.11/304,410.96
  6. Step 6: Final answer
    x = 284,390.65

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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.