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Finding the Fourth Proportional to 306,056.70, 459,085.05 and 212,744.70

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Solution

The fourth proportional to 306,056.70, 459,085.05 and 212,744.70 is: 319,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,056.70 : 459,085.05 = 212,744.70 : x
  2. Step 2: Convert to fraction form
    306,056.70/459,085.05 = 212,744.70/x
  3. Step 3: Cross multiply
    306,056.70x = 459,085.05 × 212,744.70
  4. Step 4: Simplify right side
    306,056.70x = 97,667,911,236.74
  5. Step 5: Solve for x
    x = 97,667,911,236.74/306,056.70
  6. Step 6: Final answer
    x = 319,117.05

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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.