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Finding the Fourth Proportional to 408,137.82, 561,943.74 and 370,303.74

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Solution

The fourth proportional to 408,137.82, 561,943.74 and 370,303.74 is: 509,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,137.82 : 561,943.74 = 370,303.74 : x
  2. Step 2: Convert to fraction form
    408,137.82/561,943.74 = 370,303.74/x
  3. Step 3: Cross multiply
    408,137.82x = 561,943.74 × 370,303.74
  4. Step 4: Simplify right side
    408,137.82x = 208,089,868,591.59
  5. Step 5: Solve for x
    x = 208,089,868,591.59/408,137.82
  6. Step 6: Final answer
    x = 509,851.96

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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.