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Finding the Fourth Proportional to 313,830.20, 470,745.30 and 288,025.40

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Solution

The fourth proportional to 313,830.20, 470,745.30 and 288,025.40 is: 432,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,830.20 : 470,745.30 = 288,025.40 : x
  2. Step 2: Convert to fraction form
    313,830.20/470,745.30 = 288,025.40/x
  3. Step 3: Cross multiply
    313,830.20x = 470,745.30 × 288,025.40
  4. Step 4: Simplify right side
    313,830.20x = 135,586,603,330.62
  5. Step 5: Solve for x
    x = 135,586,603,330.62/313,830.20
  6. Step 6: Final answer
    x = 432,038.10

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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.