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Finding the Fourth Proportional to 646,577.40, 970,902.90 and 437,143.80

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Solution

The fourth proportional to 646,577.40, 970,902.90 and 437,143.80 is: 656,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,577.40 : 970,902.90 = 437,143.80 : x
  2. Step 2: Convert to fraction form
    646,577.40/970,902.90 = 437,143.80/x
  3. Step 3: Cross multiply
    646,577.40x = 970,902.90 × 437,143.80
  4. Step 4: Simplify right side
    646,577.40x = 424,424,183,137.02
  5. Step 5: Solve for x
    x = 424,424,183,137.02/646,577.40
  6. Step 6: Final answer
    x = 656,416.67

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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.