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Finding the Fourth Proportional to 357,906.86, 493,882.09 and 210,708.35

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Solution

The fourth proportional to 357,906.86, 493,882.09 and 210,708.35 is: 290,760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,906.86 : 493,882.09 = 210,708.35 : x
  2. Step 2: Convert to fraction form
    357,906.86/493,882.09 = 210,708.35/x
  3. Step 3: Cross multiply
    357,906.86x = 493,882.09 × 210,708.35
  4. Step 4: Simplify right side
    357,906.86x = 104,065,080,278.45
  5. Step 5: Solve for x
    x = 104,065,080,278.45/357,906.86
  6. Step 6: Final answer
    x = 290,760.23

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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.