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Finding the Fourth Proportional to 281,087.70, 420,955.94 and 160,779.94

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Solution

The fourth proportional to 281,087.70, 420,955.94 and 160,779.94 is: 240,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,087.70 : 420,955.94 = 160,779.94 : x
  2. Step 2: Convert to fraction form
    281,087.70/420,955.94 = 160,779.94/x
  3. Step 3: Cross multiply
    281,087.70x = 420,955.94 × 160,779.94
  4. Step 4: Simplify right side
    281,087.70x = 67,681,270,775.84
  5. Step 5: Solve for x
    x = 67,681,270,775.84/281,087.70
  6. Step 6: Final answer
    x = 240,783.47

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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.