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Finding the Fourth Proportional to 506,890, 759,702.96 and 443,559.72

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Solution

The fourth proportional to 506,890, 759,702.96 and 443,559.72 is: 664,786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,890 : 759,702.96 = 443,559.72 : x
  2. Step 2: Convert to fraction form
    506,890/759,702.96 = 443,559.72/x
  3. Step 3: Cross multiply
    506,890x = 759,702.96 × 443,559.72
  4. Step 4: Simplify right side
    506,890x = 336,973,632,220.77
  5. Step 5: Solve for x
    x = 336,973,632,220.77/506,890
  6. Step 6: Final answer
    x = 664,786.51

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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.