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Finding the Fourth Proportional to 475,083.65, 655,680.67 and 291,289.70

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Solution

The fourth proportional to 475,083.65, 655,680.67 and 291,289.70 is: 402,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,083.65 : 655,680.67 = 291,289.70 : x
  2. Step 2: Convert to fraction form
    475,083.65/655,680.67 = 291,289.70/x
  3. Step 3: Cross multiply
    475,083.65x = 655,680.67 × 291,289.70
  4. Step 4: Simplify right side
    475,083.65x = 190,993,026,571.08
  5. Step 5: Solve for x
    x = 190,993,026,571.08/475,083.65
  6. Step 6: Final answer
    x = 402,019.78

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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.