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Finding the Fourth Proportional to 655,316.86, 983,146.97 and 206,019.58

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Solution

The fourth proportional to 655,316.86, 983,146.97 and 206,019.58 is: 309,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,316.86 : 983,146.97 = 206,019.58 : x
  2. Step 2: Convert to fraction form
    655,316.86/983,146.97 = 206,019.58/x
  3. Step 3: Cross multiply
    655,316.86x = 983,146.97 × 206,019.58
  4. Step 4: Simplify right side
    655,316.86x = 202,547,525,837.67
  5. Step 5: Solve for x
    x = 202,547,525,837.67/655,316.86
  6. Step 6: Final answer
    x = 309,083.34

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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.