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Finding the Fourth Proportional to 849,285, 1,274,124.33 and 288,319.50

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Solution

The fourth proportional to 849,285, 1,274,124.33 and 288,319.50 is: 432,546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,285 : 1,274,124.33 = 288,319.50 : x
  2. Step 2: Convert to fraction form
    849,285/1,274,124.33 = 288,319.50/x
  3. Step 3: Cross multiply
    849,285x = 1,274,124.33 × 288,319.50
  4. Step 4: Simplify right side
    849,285x = 367,354,889,763.44
  5. Step 5: Solve for x
    x = 367,354,889,763.44/849,285
  6. Step 6: Final answer
    x = 432,546.07

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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.