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Finding the Fourth Proportional to 297,846.40, 446,848.80 and 129,294.40

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Solution

The fourth proportional to 297,846.40, 446,848.80 and 129,294.40 is: 193,975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,846.40 : 446,848.80 = 129,294.40 : x
  2. Step 2: Convert to fraction form
    297,846.40/446,848.80 = 129,294.40/x
  3. Step 3: Cross multiply
    297,846.40x = 446,848.80 × 129,294.40
  4. Step 4: Simplify right side
    297,846.40x = 57,775,047,486.72
  5. Step 5: Solve for x
    x = 57,775,047,486.72/297,846.40
  6. Step 6: Final answer
    x = 193,975.98

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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.