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Finding the Fourth Proportional to 242,705.46, 364,222.20 and 84,935.28

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Solution

The fourth proportional to 242,705.46, 364,222.20 and 84,935.28 is: 127,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,705.46 : 364,222.20 = 84,935.28 : x
  2. Step 2: Convert to fraction form
    242,705.46/364,222.20 = 84,935.28/x
  3. Step 3: Cross multiply
    242,705.46x = 364,222.20 × 84,935.28
  4. Step 4: Simplify right side
    242,705.46x = 30,935,314,539.22
  5. Step 5: Solve for x
    x = 30,935,314,539.22/242,705.46
  6. Step 6: Final answer
    x = 127,460.32

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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.