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Finding the Fourth Proportional to 357,860, 493,846.80 and 206,966.72

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Solution

The fourth proportional to 357,860, 493,846.80 and 206,966.72 is: 285,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,860 : 493,846.80 = 206,966.72 : x
  2. Step 2: Convert to fraction form
    357,860/493,846.80 = 206,966.72/x
  3. Step 3: Cross multiply
    357,860x = 493,846.80 × 206,966.72
  4. Step 4: Simplify right side
    357,860x = 102,209,852,378.50
  5. Step 5: Solve for x
    x = 102,209,852,378.50/357,860
  6. Step 6: Final answer
    x = 285,614.07

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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.