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Finding the Fourth Proportional to 357,140.68, 492,927.06 and 206,217.16

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Solution

The fourth proportional to 357,140.68, 492,927.06 and 206,217.16 is: 284,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,140.68 : 492,927.06 = 206,217.16 : x
  2. Step 2: Convert to fraction form
    357,140.68/492,927.06 = 206,217.16/x
  3. Step 3: Cross multiply
    357,140.68x = 492,927.06 × 206,217.16
  4. Step 4: Simplify right side
    357,140.68x = 101,650,018,400.35
  5. Step 5: Solve for x
    x = 101,650,018,400.35/357,140.68
  6. Step 6: Final answer
    x = 284,621.79

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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.