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Finding the Fourth Proportional to 556,486.70, 767,951.67 and 314,764.07

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Solution

The fourth proportional to 556,486.70, 767,951.67 and 314,764.07 is: 434,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,486.70 : 767,951.67 = 314,764.07 : x
  2. Step 2: Convert to fraction form
    556,486.70/767,951.67 = 314,764.07/x
  3. Step 3: Cross multiply
    556,486.70x = 767,951.67 × 314,764.07
  4. Step 4: Simplify right side
    556,486.70x = 241,723,589,372.74
  5. Step 5: Solve for x
    x = 241,723,589,372.74/556,486.70
  6. Step 6: Final answer
    x = 434,374.43

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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.