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Finding the Fourth Proportional to 247,509, 341,650.98 and 146,907

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Solution

The fourth proportional to 247,509, 341,650.98 and 146,907 is: 202,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,509 : 341,650.98 = 146,907 : x
  2. Step 2: Convert to fraction form
    247,509/341,650.98 = 146,907/x
  3. Step 3: Cross multiply
    247,509x = 341,650.98 × 146,907
  4. Step 4: Simplify right side
    247,509x = 50,190,920,518.86
  5. Step 5: Solve for x
    x = 50,190,920,518.86/247,509
  6. Step 6: Final answer
    x = 202,784.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.