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Finding the Fourth Proportional to 306,492.80, 459,739.20 and 212,014.40

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Solution

The fourth proportional to 306,492.80, 459,739.20 and 212,014.40 is: 318,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,492.80 : 459,739.20 = 212,014.40 : x
  2. Step 2: Convert to fraction form
    306,492.80/459,739.20 = 212,014.40/x
  3. Step 3: Cross multiply
    306,492.80x = 459,739.20 × 212,014.40
  4. Step 4: Simplify right side
    306,492.80x = 97,471,330,644.48
  5. Step 5: Solve for x
    x = 97,471,330,644.48/306,492.80
  6. Step 6: Final answer
    x = 318,021.60

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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.