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Finding the Fourth Proportional to 306,457, 459,841.02 and 140,286.76

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Solution

The fourth proportional to 306,457, 459,841.02 and 140,286.76 is: 210,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,457 : 459,841.02 = 140,286.76 : x
  2. Step 2: Convert to fraction form
    306,457/459,841.02 = 140,286.76/x
  3. Step 3: Cross multiply
    306,457x = 459,841.02 × 140,286.76
  4. Step 4: Simplify right side
    306,457x = 64,509,606,810.90
  5. Step 5: Solve for x
    x = 64,509,606,810.90/306,457
  6. Step 6: Final answer
    x = 210,501.33

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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.