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Finding the Fourth Proportional to 306,501.10, 459,751.65 and 212,022.70

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Solution

The fourth proportional to 306,501.10, 459,751.65 and 212,022.70 is: 318,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,501.10 : 459,751.65 = 212,022.70 : x
  2. Step 2: Convert to fraction form
    306,501.10/459,751.65 = 212,022.70/x
  3. Step 3: Cross multiply
    306,501.10x = 459,751.65 × 212,022.70
  4. Step 4: Simplify right side
    306,501.10x = 97,477,786,162.46
  5. Step 5: Solve for x
    x = 97,477,786,162.46/306,501.10
  6. Step 6: Final answer
    x = 318,034.05

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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.