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Finding the Fourth Proportional to 416,420.70, 624,368.60 and 353,262.97

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Solution

The fourth proportional to 416,420.70, 624,368.60 and 353,262.97 is: 529,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,420.70 : 624,368.60 = 353,262.97 : x
  2. Step 2: Convert to fraction form
    416,420.70/624,368.60 = 353,262.97/x
  3. Step 3: Cross multiply
    416,420.70x = 624,368.60 × 353,262.97
  4. Step 4: Simplify right side
    416,420.70x = 220,566,306,010.74
  5. Step 5: Solve for x
    x = 220,566,306,010.74/416,420.70
  6. Step 6: Final answer
    x = 529,671.81

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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.