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Finding the Fourth Proportional to 265,390.66, 397,754.01 and 209,008.10

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Solution

The fourth proportional to 265,390.66, 397,754.01 and 209,008.10 is: 313,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,390.66 : 397,754.01 = 209,008.10 : x
  2. Step 2: Convert to fraction form
    265,390.66/397,754.01 = 209,008.10/x
  3. Step 3: Cross multiply
    265,390.66x = 397,754.01 × 209,008.10
  4. Step 4: Simplify right side
    265,390.66x = 83,133,808,654.50
  5. Step 5: Solve for x
    x = 83,133,808,654.50/265,390.66
  6. Step 6: Final answer
    x = 313,250.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.