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Finding the Fourth Proportional to 368,010.20, 507,907.86 and 206,878.52

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Solution

The fourth proportional to 368,010.20, 507,907.86 and 206,878.52 is: 285,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,010.20 : 507,907.86 = 206,878.52 : x
  2. Step 2: Convert to fraction form
    368,010.20/507,907.86 = 206,878.52/x
  3. Step 3: Cross multiply
    368,010.20x = 507,907.86 × 206,878.52
  4. Step 4: Simplify right side
    368,010.20x = 105,075,226,373.17
  5. Step 5: Solve for x
    x = 105,075,226,373.17/368,010.20
  6. Step 6: Final answer
    x = 285,522.59

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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.