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Finding the Fourth Proportional to 315,189.20, 472,783.80 and 286,158.80

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Solution

The fourth proportional to 315,189.20, 472,783.80 and 286,158.80 is: 429,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,189.20 : 472,783.80 = 286,158.80 : x
  2. Step 2: Convert to fraction form
    315,189.20/472,783.80 = 286,158.80/x
  3. Step 3: Cross multiply
    315,189.20x = 472,783.80 × 286,158.80
  4. Step 4: Simplify right side
    315,189.20x = 135,291,244,867.44
  5. Step 5: Solve for x
    x = 135,291,244,867.44/315,189.20
  6. Step 6: Final answer
    x = 429,238.20

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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.