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Finding the Fourth Proportional to 450,907.74, 620,836.38 and 382,783.50

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Solution

The fourth proportional to 450,907.74, 620,836.38 and 382,783.50 is: 527,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,907.74 : 620,836.38 = 382,783.50 : x
  2. Step 2: Convert to fraction form
    450,907.74/620,836.38 = 382,783.50/x
  3. Step 3: Cross multiply
    450,907.74x = 620,836.38 × 382,783.50
  4. Step 4: Simplify right side
    450,907.74x = 237,645,922,463.73
  5. Step 5: Solve for x
    x = 237,645,922,463.73/450,907.74
  6. Step 6: Final answer
    x = 527,038.91

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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.