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Finding the Fourth Proportional to 519,024.85, 779,643.47 and 488,688.46

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Solution

The fourth proportional to 519,024.85, 779,643.47 and 488,688.46 is: 734,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,024.85 : 779,643.47 = 488,688.46 : x
  2. Step 2: Convert to fraction form
    519,024.85/779,643.47 = 488,688.46/x
  3. Step 3: Cross multiply
    519,024.85x = 779,643.47 × 488,688.46
  4. Step 4: Simplify right side
    519,024.85x = 381,002,766,703.36
  5. Step 5: Solve for x
    x = 381,002,766,703.36/519,024.85
  6. Step 6: Final answer
    x = 734,074.23

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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.