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Finding the Fourth Proportional to 212,647.20, 318,970.80 and 142,605.60

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Solution

The fourth proportional to 212,647.20, 318,970.80 and 142,605.60 is: 213,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,647.20 : 318,970.80 = 142,605.60 : x
  2. Step 2: Convert to fraction form
    212,647.20/318,970.80 = 142,605.60/x
  3. Step 3: Cross multiply
    212,647.20x = 318,970.80 × 142,605.60
  4. Step 4: Simplify right side
    212,647.20x = 45,487,022,316.48
  5. Step 5: Solve for x
    x = 45,487,022,316.48/212,647.20
  6. Step 6: Final answer
    x = 213,908.40

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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.