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Finding the Fourth Proportional to 640,970.42, 961,012.76 and 280,968.35

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Solution

The fourth proportional to 640,970.42, 961,012.76 and 280,968.35 is: 421,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,970.42 : 961,012.76 = 280,968.35 : x
  2. Step 2: Convert to fraction form
    640,970.42/961,012.76 = 280,968.35/x
  3. Step 3: Cross multiply
    640,970.42x = 961,012.76 × 280,968.35
  4. Step 4: Simplify right side
    640,970.42x = 270,014,163,296.24
  5. Step 5: Solve for x
    x = 270,014,163,296.24/640,970.42
  6. Step 6: Final answer
    x = 421,258.39

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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.