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Finding the Fourth Proportional to 286,828, 430,397.52 and 139,084

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Solution

The fourth proportional to 286,828, 430,397.52 and 139,084 is: 208,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,828 : 430,397.52 = 139,084 : x
  2. Step 2: Convert to fraction form
    286,828/430,397.52 = 139,084/x
  3. Step 3: Cross multiply
    286,828x = 430,397.52 × 139,084
  4. Step 4: Simplify right side
    286,828x = 59,861,408,671.68
  5. Step 5: Solve for x
    x = 59,861,408,671.68/286,828
  6. Step 6: Final answer
    x = 208,701.41

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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.