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Finding the Fourth Proportional to 357,385.82, 535,908.87 and 207,669.29

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Solution

The fourth proportional to 357,385.82, 535,908.87 and 207,669.29 is: 311,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,385.82 : 535,908.87 = 207,669.29 : x
  2. Step 2: Convert to fraction form
    357,385.82/535,908.87 = 207,669.29/x
  3. Step 3: Cross multiply
    357,385.82x = 535,908.87 × 207,669.29
  4. Step 4: Simplify right side
    357,385.82x = 111,291,811,858.06
  5. Step 5: Solve for x
    x = 111,291,811,858.06/357,385.82
  6. Step 6: Final answer
    x = 311,405.23

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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.