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Finding the Fourth Proportional to 430,155.40, 646,166.22 and 414,409

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Solution

The fourth proportional to 430,155.40, 646,166.22 and 414,409 is: 622,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,155.40 : 646,166.22 = 414,409 : x
  2. Step 2: Convert to fraction form
    430,155.40/646,166.22 = 414,409/x
  3. Step 3: Cross multiply
    430,155.40x = 646,166.22 × 414,409
  4. Step 4: Simplify right side
    430,155.40x = 267,777,097,063.98
  5. Step 5: Solve for x
    x = 267,777,097,063.98/430,155.40
  6. Step 6: Final answer
    x = 622,512.46

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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.