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Finding the Fourth Proportional to 306,158.68, 459,079.81 and 137,534.83

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Solution

The fourth proportional to 306,158.68, 459,079.81 and 137,534.83 is: 206,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,158.68 : 459,079.81 = 137,534.83 : x
  2. Step 2: Convert to fraction form
    306,158.68/459,079.81 = 137,534.83/x
  3. Step 3: Cross multiply
    306,158.68x = 459,079.81 × 137,534.83
  4. Step 4: Simplify right side
    306,158.68x = 63,139,462,937.11
  5. Step 5: Solve for x
    x = 63,139,462,937.11/306,158.68
  6. Step 6: Final answer
    x = 206,231.17

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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.