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Finding the Fourth Proportional to 371,680.68, 511,981.44 and 299,859.60

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Solution

The fourth proportional to 371,680.68, 511,981.44 and 299,859.60 is: 413,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,680.68 : 511,981.44 = 299,859.60 : x
  2. Step 2: Convert to fraction form
    371,680.68/511,981.44 = 299,859.60/x
  3. Step 3: Cross multiply
    371,680.68x = 511,981.44 × 299,859.60
  4. Step 4: Simplify right side
    371,680.68x = 153,522,549,805.82
  5. Step 5: Solve for x
    x = 153,522,549,805.82/371,680.68
  6. Step 6: Final answer
    x = 413,049.58

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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.