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Finding the Fourth Proportional to 208,577.70, 312,866.55 and 200,412.90

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Solution

The fourth proportional to 208,577.70, 312,866.55 and 200,412.90 is: 300,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,577.70 : 312,866.55 = 200,412.90 : x
  2. Step 2: Convert to fraction form
    208,577.70/312,866.55 = 200,412.90/x
  3. Step 3: Cross multiply
    208,577.70x = 312,866.55 × 200,412.90
  4. Step 4: Simplify right side
    208,577.70x = 62,702,492,598.50
  5. Step 5: Solve for x
    x = 62,702,492,598.50/208,577.70
  6. Step 6: Final answer
    x = 300,619.35

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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.