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Finding the Fourth Proportional to 208,042.90, 312,064.35 and 208,042.90

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Solution

The fourth proportional to 208,042.90, 312,064.35 and 208,042.90 is: 312,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,042.90 : 312,064.35 = 208,042.90 : x
  2. Step 2: Convert to fraction form
    208,042.90/312,064.35 = 208,042.90/x
  3. Step 3: Cross multiply
    208,042.90x = 312,064.35 × 208,042.90
  4. Step 4: Simplify right side
    208,042.90x = 64,922,772,360.62
  5. Step 5: Solve for x
    x = 64,922,772,360.62/208,042.90
  6. Step 6: Final answer
    x = 312,064.35

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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.