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Finding the Fourth Proportional to 315,280.20, 472,920.30 and 286,249.80

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Solution

The fourth proportional to 315,280.20, 472,920.30 and 286,249.80 is: 429,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,280.20 : 472,920.30 = 286,249.80 : x
  2. Step 2: Convert to fraction form
    315,280.20/472,920.30 = 286,249.80/x
  3. Step 3: Cross multiply
    315,280.20x = 472,920.30 × 286,249.80
  4. Step 4: Simplify right side
    315,280.20x = 135,373,341,290.94
  5. Step 5: Solve for x
    x = 135,373,341,290.94/315,280.20
  6. Step 6: Final answer
    x = 429,374.70

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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.