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Finding the Fourth Proportional to 647,940.90, 971,911.35 and 412,328.10

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Solution

The fourth proportional to 647,940.90, 971,911.35 and 412,328.10 is: 618,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,940.90 : 971,911.35 = 412,328.10 : x
  2. Step 2: Convert to fraction form
    647,940.90/971,911.35 = 412,328.10/x
  3. Step 3: Cross multiply
    647,940.90x = 971,911.35 × 412,328.10
  4. Step 4: Simplify right side
    647,940.90x = 400,746,360,313.94
  5. Step 5: Solve for x
    x = 400,746,360,313.94/647,940.90
  6. Step 6: Final answer
    x = 618,492.15

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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.