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Finding the Fourth Proportional to 212,614.60, 318,921.90 and 146,259.40

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Solution

The fourth proportional to 212,614.60, 318,921.90 and 146,259.40 is: 219,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,614.60 : 318,921.90 = 146,259.40 : x
  2. Step 2: Convert to fraction form
    212,614.60/318,921.90 = 146,259.40/x
  3. Step 3: Cross multiply
    212,614.60x = 318,921.90 × 146,259.40
  4. Step 4: Simplify right side
    212,614.60x = 46,645,325,740.86
  5. Step 5: Solve for x
    x = 46,645,325,740.86/212,614.60
  6. Step 6: Final answer
    x = 219,389.10

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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.