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Finding the Fourth Proportional to 307,041.84, 459,896.16 and 148,938

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Solution

The fourth proportional to 307,041.84, 459,896.16 and 148,938 is: 223,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,041.84 : 459,896.16 = 148,938 : x
  2. Step 2: Convert to fraction form
    307,041.84/459,896.16 = 148,938/x
  3. Step 3: Cross multiply
    307,041.84x = 459,896.16 × 148,938
  4. Step 4: Simplify right side
    307,041.84x = 68,496,014,278.08
  5. Step 5: Solve for x
    x = 68,496,014,278.08/307,041.84
  6. Step 6: Final answer
    x = 223,083.65

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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.