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Finding the Fourth Proportional to 519,883.40, 778,512.90 and 341,424.20

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Solution

The fourth proportional to 519,883.40, 778,512.90 and 341,424.20 is: 511,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,883.40 : 778,512.90 = 341,424.20 : x
  2. Step 2: Convert to fraction form
    519,883.40/778,512.90 = 341,424.20/x
  3. Step 3: Cross multiply
    519,883.40x = 778,512.90 × 341,424.20
  4. Step 4: Simplify right side
    519,883.40x = 265,803,144,072.18
  5. Step 5: Solve for x
    x = 265,803,144,072.18/519,883.40
  6. Step 6: Final answer
    x = 511,274.54

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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.