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Finding the Fourth Proportional to 405,761.70, 608,642.55 and 153,003.30

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Solution

The fourth proportional to 405,761.70, 608,642.55 and 153,003.30 is: 229,504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,761.70 : 608,642.55 = 153,003.30 : x
  2. Step 2: Convert to fraction form
    405,761.70/608,642.55 = 153,003.30/x
  3. Step 3: Cross multiply
    405,761.70x = 608,642.55 × 153,003.30
  4. Step 4: Simplify right side
    405,761.70x = 93,124,318,670.42
  5. Step 5: Solve for x
    x = 93,124,318,670.42/405,761.70
  6. Step 6: Final answer
    x = 229,504.95

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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.