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Finding the Fourth Proportional to 405,084.51, 608,008.14 and 205,548.10

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Solution

The fourth proportional to 405,084.51, 608,008.14 and 205,548.10 is: 308,515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,084.51 : 608,008.14 = 205,548.10 : x
  2. Step 2: Convert to fraction form
    405,084.51/608,008.14 = 205,548.10/x
  3. Step 3: Cross multiply
    405,084.51x = 608,008.14 × 205,548.10
  4. Step 4: Simplify right side
    405,084.51x = 124,974,916,441.51
  5. Step 5: Solve for x
    x = 124,974,916,441.51/405,084.51
  6. Step 6: Final answer
    x = 308,515.66

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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.