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Finding the Fourth Proportional to 283,071.24, 390,639.24 and 155,754.72

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Solution

The fourth proportional to 283,071.24, 390,639.24 and 155,754.72 is: 214,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,071.24 : 390,639.24 = 155,754.72 : x
  2. Step 2: Convert to fraction form
    283,071.24/390,639.24 = 155,754.72/x
  3. Step 3: Cross multiply
    283,071.24x = 390,639.24 × 155,754.72
  4. Step 4: Simplify right side
    283,071.24x = 60,843,905,447.21
  5. Step 5: Solve for x
    x = 60,843,905,447.21/283,071.24
  6. Step 6: Final answer
    x = 214,942.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.