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Finding the Fourth Proportional to 208,543.60, 312,815.40 and 199,442.80

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Solution

The fourth proportional to 208,543.60, 312,815.40 and 199,442.80 is: 299,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,543.60 : 312,815.40 = 199,442.80 : x
  2. Step 2: Convert to fraction form
    208,543.60/312,815.40 = 199,442.80/x
  3. Step 3: Cross multiply
    208,543.60x = 312,815.40 × 199,442.80
  4. Step 4: Simplify right side
    208,543.60x = 62,388,779,259.12
  5. Step 5: Solve for x
    x = 62,388,779,259.12/208,543.60
  6. Step 6: Final answer
    x = 299,164.20

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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.