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Finding the Fourth Proportional to 378,038.20, 565,745.10 and 346,545.40

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Solution

The fourth proportional to 378,038.20, 565,745.10 and 346,545.40 is: 518,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,038.20 : 565,745.10 = 346,545.40 : x
  2. Step 2: Convert to fraction form
    378,038.20/565,745.10 = 346,545.40/x
  3. Step 3: Cross multiply
    378,038.20x = 565,745.10 × 346,545.40
  4. Step 4: Simplify right side
    378,038.20x = 196,056,361,977.54
  5. Step 5: Solve for x
    x = 196,056,361,977.54/378,038.20
  6. Step 6: Final answer
    x = 518,615.21

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1.5x scale

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.