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Finding the Fourth Proportional to 646,948, 969,348.96 and 393,461.68

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Solution

The fourth proportional to 646,948, 969,348.96 and 393,461.68 is: 589,539.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,948 : 969,348.96 = 393,461.68 : x
  2. Step 2: Convert to fraction form
    646,948/969,348.96 = 393,461.68/x
  3. Step 3: Cross multiply
    646,948x = 969,348.96 × 393,461.68
  4. Step 4: Simplify right side
    646,948x = 381,401,670,307.85
  5. Step 5: Solve for x
    x = 381,401,670,307.85/646,948
  6. Step 6: Final answer
    x = 589,539.92

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1.5x scale

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.