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Finding the Fourth Proportional to 509,138.94, 702,738 and 294,247.97

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Solution

The fourth proportional to 509,138.94, 702,738 and 294,247.97 is: 406,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,138.94 : 702,738 = 294,247.97 : x
  2. Step 2: Convert to fraction form
    509,138.94/702,738 = 294,247.97/x
  3. Step 3: Cross multiply
    509,138.94x = 702,738 × 294,247.97
  4. Step 4: Simplify right side
    509,138.94x = 206,779,226,428.17
  5. Step 5: Solve for x
    x = 206,779,226,428.17/509,138.94
  6. Step 6: Final answer
    x = 406,135.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.