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Finding the Fourth Proportional to 556,503, 767,974.14 and 314,780.37

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Solution

The fourth proportional to 556,503, 767,974.14 and 314,780.37 is: 434,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,503 : 767,974.14 = 314,780.37 : x
  2. Step 2: Convert to fraction form
    556,503/767,974.14 = 314,780.37/x
  3. Step 3: Cross multiply
    556,503x = 767,974.14 × 314,780.37
  4. Step 4: Simplify right side
    556,503x = 241,743,183,939.63
  5. Step 5: Solve for x
    x = 241,743,183,939.63/556,503
  6. Step 6: Final answer
    x = 434,396.91

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1.5x scale

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.