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Finding the Fourth Proportional to 556,452.45, 767,905.74 and 301,803.66

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Solution

The fourth proportional to 556,452.45, 767,905.74 and 301,803.66 is: 416,489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,452.45 : 767,905.74 = 301,803.66 : x
  2. Step 2: Convert to fraction form
    556,452.45/767,905.74 = 301,803.66/x
  3. Step 3: Cross multiply
    556,452.45x = 767,905.74 × 301,803.66
  4. Step 4: Simplify right side
    556,452.45x = 231,756,762,867.01
  5. Step 5: Solve for x
    x = 231,756,762,867.01/556,452.45
  6. Step 6: Final answer
    x = 416,489.79

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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.