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Finding the Fourth Proportional to 501,251.49, 691,763.70 and 286,386.93

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Solution

The fourth proportional to 501,251.49, 691,763.70 and 286,386.93 is: 395,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,251.49 : 691,763.70 = 286,386.93 : x
  2. Step 2: Convert to fraction form
    501,251.49/691,763.70 = 286,386.93/x
  3. Step 3: Cross multiply
    501,251.49x = 691,763.70 × 286,386.93
  4. Step 4: Simplify right side
    501,251.49x = 198,112,082,328.44
  5. Step 5: Solve for x
    x = 198,112,082,328.44/501,251.49
  6. Step 6: Final answer
    x = 395,234.90

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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.