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Finding the Fourth Proportional to 286,706.94, 430,099.29 and 99,694.14

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Solution

The fourth proportional to 286,706.94, 430,099.29 and 99,694.14 is: 149,554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,706.94 : 430,099.29 = 99,694.14 : x
  2. Step 2: Convert to fraction form
    286,706.94/430,099.29 = 99,694.14/x
  3. Step 3: Cross multiply
    286,706.94x = 430,099.29 × 99,694.14
  4. Step 4: Simplify right side
    286,706.94x = 42,878,378,831.16
  5. Step 5: Solve for x
    x = 42,878,378,831.16/286,706.94
  6. Step 6: Final answer
    x = 149,554.73

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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.