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Finding the Fourth Proportional to 242,800.40, 364,187.61 and 74,320.81

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Solution

The fourth proportional to 242,800.40, 364,187.61 and 74,320.81 is: 111,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,800.40 : 364,187.61 = 74,320.81 : x
  2. Step 2: Convert to fraction form
    242,800.40/364,187.61 = 74,320.81/x
  3. Step 3: Cross multiply
    242,800.40x = 364,187.61 × 74,320.81
  4. Step 4: Simplify right side
    242,800.40x = 27,066,718,181.67
  5. Step 5: Solve for x
    x = 27,066,718,181.67/242,800.40
  6. Step 6: Final answer
    x = 111,477.24

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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.