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Finding the Fourth Proportional to 306,528.30, 423,203.40 and 209,893.86

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Solution

The fourth proportional to 306,528.30, 423,203.40 and 209,893.86 is: 289,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,528.30 : 423,203.40 = 209,893.86 : x
  2. Step 2: Convert to fraction form
    306,528.30/423,203.40 = 209,893.86/x
  3. Step 3: Cross multiply
    306,528.30x = 423,203.40 × 209,893.86
  4. Step 4: Simplify right side
    306,528.30x = 88,827,795,191.12
  5. Step 5: Solve for x
    x = 88,827,795,191.12/306,528.30
  6. Step 6: Final answer
    x = 289,786.60

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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.