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Finding the Fourth Proportional to 416,159.21, 574,300.03 and 288,908.61

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Solution

The fourth proportional to 416,159.21, 574,300.03 and 288,908.61 is: 398,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,159.21 : 574,300.03 = 288,908.61 : x
  2. Step 2: Convert to fraction form
    416,159.21/574,300.03 = 288,908.61/x
  3. Step 3: Cross multiply
    416,159.21x = 574,300.03 × 288,908.61
  4. Step 4: Simplify right side
    416,159.21x = 165,920,223,390.26
  5. Step 5: Solve for x
    x = 165,920,223,390.26/416,159.21
  6. Step 6: Final answer
    x = 398,694.11

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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.