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Finding the Fourth Proportional to 518,558.90, 777,838.35 and 413,582.90

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Solution

The fourth proportional to 518,558.90, 777,838.35 and 413,582.90 is: 620,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,558.90 : 777,838.35 = 413,582.90 : x
  2. Step 2: Convert to fraction form
    518,558.90/777,838.35 = 413,582.90/x
  3. Step 3: Cross multiply
    518,558.90x = 777,838.35 × 413,582.90
  4. Step 4: Simplify right side
    518,558.90x = 321,700,640,524.22
  5. Step 5: Solve for x
    x = 321,700,640,524.22/518,558.90
  6. Step 6: Final answer
    x = 620,374.35

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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.