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Finding the Fourth Proportional to 519,219.94, 716,847.89 and 398,128.58

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Solution

The fourth proportional to 519,219.94, 716,847.89 and 398,128.58 is: 549,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,219.94 : 716,847.89 = 398,128.58 : x
  2. Step 2: Convert to fraction form
    519,219.94/716,847.89 = 398,128.58/x
  3. Step 3: Cross multiply
    519,219.94x = 716,847.89 × 398,128.58
  4. Step 4: Simplify right side
    519,219.94x = 285,397,632,521.70
  5. Step 5: Solve for x
    x = 285,397,632,521.70/519,219.94
  6. Step 6: Final answer
    x = 549,666.16

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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.