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Finding the Fourth Proportional to 490,077.42, 734,426.52 and 389,792.52

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Solution

The fourth proportional to 490,077.42, 734,426.52 and 389,792.52 is: 584,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,077.42 : 734,426.52 = 389,792.52 : x
  2. Step 2: Convert to fraction form
    490,077.42/734,426.52 = 389,792.52/x
  3. Step 3: Cross multiply
    490,077.42x = 734,426.52 × 389,792.52
  4. Step 4: Simplify right side
    490,077.42x = 286,273,963,985.63
  5. Step 5: Solve for x
    x = 286,273,963,985.63/490,077.42
  6. Step 6: Final answer
    x = 584,140.29

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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.