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Finding the Fourth Proportional to 208,047.60, 312,071.40 and 187,052.40

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Solution

The fourth proportional to 208,047.60, 312,071.40 and 187,052.40 is: 280,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,047.60 : 312,071.40 = 187,052.40 : x
  2. Step 2: Convert to fraction form
    208,047.60/312,071.40 = 187,052.40/x
  3. Step 3: Cross multiply
    208,047.60x = 312,071.40 × 187,052.40
  4. Step 4: Simplify right side
    208,047.60x = 58,373,704,341.36
  5. Step 5: Solve for x
    x = 58,373,704,341.36/208,047.60
  6. Step 6: Final answer
    x = 280,578.60

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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.