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Finding the Fourth Proportional to 346,502.28, 519,028.41 and 278,667.63

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Solution

The fourth proportional to 346,502.28, 519,028.41 and 278,667.63 is: 417,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,502.28 : 519,028.41 = 278,667.63 : x
  2. Step 2: Convert to fraction form
    346,502.28/519,028.41 = 278,667.63/x
  3. Step 3: Cross multiply
    346,502.28x = 519,028.41 × 278,667.63
  4. Step 4: Simplify right side
    346,502.28x = 144,636,415,718.85
  5. Step 5: Solve for x
    x = 144,636,415,718.85/346,502.28
  6. Step 6: Final answer
    x = 417,418.37

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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.