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Finding the Fourth Proportional to 536,305.40, 803,946.10 and 199,255.80

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Solution

The fourth proportional to 536,305.40, 803,946.10 and 199,255.80 is: 298,693.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,305.40 : 803,946.10 = 199,255.80 : x
  2. Step 2: Convert to fraction form
    536,305.40/803,946.10 = 199,255.80/x
  3. Step 3: Cross multiply
    536,305.40x = 803,946.10 × 199,255.80
  4. Step 4: Simplify right side
    536,305.40x = 160,190,923,312.38
  5. Step 5: Solve for x
    x = 160,190,923,312.38/536,305.40
  6. Step 6: Final answer
    x = 298,693.47

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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.