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Finding the Fourth Proportional to 315,213.60, 472,820.40 and 157,466.40

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Solution

The fourth proportional to 315,213.60, 472,820.40 and 157,466.40 is: 236,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,213.60 : 472,820.40 = 157,466.40 : x
  2. Step 2: Convert to fraction form
    315,213.60/472,820.40 = 157,466.40/x
  3. Step 3: Cross multiply
    315,213.60x = 472,820.40 × 157,466.40
  4. Step 4: Simplify right side
    315,213.60x = 74,453,326,234.56
  5. Step 5: Solve for x
    x = 74,453,326,234.56/315,213.60
  6. Step 6: Final answer
    x = 236,199.60

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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.