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Finding the Fourth Proportional to 421,421.82, 581,065.19 and 340,599.41

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Solution

The fourth proportional to 421,421.82, 581,065.19 and 340,599.41 is: 469,625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,421.82 : 581,065.19 = 340,599.41 : x
  2. Step 2: Convert to fraction form
    421,421.82/581,065.19 = 340,599.41/x
  3. Step 3: Cross multiply
    421,421.82x = 581,065.19 × 340,599.41
  4. Step 4: Simplify right side
    421,421.82x = 197,910,461,912.45
  5. Step 5: Solve for x
    x = 197,910,461,912.45/421,421.82
  6. Step 6: Final answer
    x = 469,625.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.