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Finding the Fourth Proportional to 280,580, 420,871.08 and 70,217.36

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Solution

The fourth proportional to 280,580, 420,871.08 and 70,217.36 is: 105,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,580 : 420,871.08 = 70,217.36 : x
  2. Step 2: Convert to fraction form
    280,580/420,871.08 = 70,217.36/x
  3. Step 3: Cross multiply
    280,580x = 420,871.08 × 70,217.36
  4. Step 4: Simplify right side
    280,580x = 29,552,456,137.95
  5. Step 5: Solve for x
    x = 29,552,456,137.95/280,580
  6. Step 6: Final answer
    x = 105,326.31

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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.