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Finding the Fourth Proportional to 357,480.20, 493,366.41 and 206,577.20

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Solution

The fourth proportional to 357,480.20, 493,366.41 and 206,577.20 is: 285,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,480.20 : 493,366.41 = 206,577.20 : x
  2. Step 2: Convert to fraction form
    357,480.20/493,366.41 = 206,577.20/x
  3. Step 3: Cross multiply
    357,480.20x = 493,366.41 × 206,577.20
  4. Step 4: Simplify right side
    357,480.20x = 101,918,249,085.02
  5. Step 5: Solve for x
    x = 101,918,249,085.02/357,480.20
  6. Step 6: Final answer
    x = 285,101.81

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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.