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Finding the Fourth Proportional to 432,790.40, 648,019.20 and 313,817.60

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Solution

The fourth proportional to 432,790.40, 648,019.20 and 313,817.60 is: 469,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,790.40 : 648,019.20 = 313,817.60 : x
  2. Step 2: Convert to fraction form
    432,790.40/648,019.20 = 313,817.60/x
  3. Step 3: Cross multiply
    432,790.40x = 648,019.20 × 313,817.60
  4. Step 4: Simplify right side
    432,790.40x = 203,359,830,097.92
  5. Step 5: Solve for x
    x = 203,359,830,097.92/432,790.40
  6. Step 6: Final answer
    x = 469,880.64

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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.