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Finding the Fourth Proportional to 418,140.98, 627,235.31 and 118,598.01

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Solution

The fourth proportional to 418,140.98, 627,235.31 and 118,598.01 is: 177,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,140.98 : 627,235.31 = 118,598.01 : x
  2. Step 2: Convert to fraction form
    418,140.98/627,235.31 = 118,598.01/x
  3. Step 3: Cross multiply
    418,140.98x = 627,235.31 × 118,598.01
  4. Step 4: Simplify right side
    418,140.98x = 74,388,860,839.33
  5. Step 5: Solve for x
    x = 74,388,860,839.33/418,140.98
  6. Step 6: Final answer
    x = 177,903.78

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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.