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Finding the Fourth Proportional to 655,707.18, 983,474.63 and 206,430.40

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Solution

The fourth proportional to 655,707.18, 983,474.63 and 206,430.40 is: 309,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,707.18 : 983,474.63 = 206,430.40 : x
  2. Step 2: Convert to fraction form
    655,707.18/983,474.63 = 206,430.40/x
  3. Step 3: Cross multiply
    655,707.18x = 983,474.63 × 206,430.40
  4. Step 4: Simplify right side
    655,707.18x = 203,019,061,260.75
  5. Step 5: Solve for x
    x = 203,019,061,260.75/655,707.18
  6. Step 6: Final answer
    x = 309,618.48

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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.