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Finding the Fourth Proportional to 310,170.78, 464,880.78 and 141,460.20

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Solution

The fourth proportional to 310,170.78, 464,880.78 and 141,460.20 is: 212,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,170.78 : 464,880.78 = 141,460.20 : x
  2. Step 2: Convert to fraction form
    310,170.78/464,880.78 = 141,460.20/x
  3. Step 3: Cross multiply
    310,170.78x = 464,880.78 × 141,460.20
  4. Step 4: Simplify right side
    310,170.78x = 65,762,128,114.96
  5. Step 5: Solve for x
    x = 65,762,128,114.96/310,170.78
  6. Step 6: Final answer
    x = 212,019.10

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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.