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Finding the Fourth Proportional to 577,538.93, 796,977.47 and 319,418.25

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Solution

The fourth proportional to 577,538.93, 796,977.47 and 319,418.25 is: 440,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,538.93 : 796,977.47 = 319,418.25 : x
  2. Step 2: Convert to fraction form
    577,538.93/796,977.47 = 319,418.25/x
  3. Step 3: Cross multiply
    577,538.93x = 796,977.47 × 319,418.25
  4. Step 4: Simplify right side
    577,538.93x = 254,569,148,756.83
  5. Step 5: Solve for x
    x = 254,569,148,756.83/577,538.93
  6. Step 6: Final answer
    x = 440,782.67

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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.