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Finding the Fourth Proportional to 350,090.60, 524,444.70 and 209,431.40

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Solution

The fourth proportional to 350,090.60, 524,444.70 and 209,431.40 is: 313,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,090.60 : 524,444.70 = 209,431.40 : x
  2. Step 2: Convert to fraction form
    350,090.60/524,444.70 = 209,431.40/x
  3. Step 3: Cross multiply
    350,090.60x = 524,444.70 × 209,431.40
  4. Step 4: Simplify right side
    350,090.60x = 109,835,187,743.58
  5. Step 5: Solve for x
    x = 109,835,187,743.58/350,090.60
  6. Step 6: Final answer
    x = 313,733.61

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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.