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Finding the Fourth Proportional to 519,461, 779,438.30 and 359,782.68

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Solution

The fourth proportional to 519,461, 779,438.30 and 359,782.68 is: 539,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,461 : 779,438.30 = 359,782.68 : x
  2. Step 2: Convert to fraction form
    519,461/779,438.30 = 359,782.68/x
  3. Step 3: Cross multiply
    519,461x = 779,438.30 × 359,782.68
  4. Step 4: Simplify right side
    519,461x = 280,428,400,468.64
  5. Step 5: Solve for x
    x = 280,428,400,468.64/519,461
  6. Step 6: Final answer
    x = 539,844.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.