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Finding the Fourth Proportional to 305,347.86, 457,554.72 and 163,213.37

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Solution

The fourth proportional to 305,347.86, 457,554.72 and 163,213.37 is: 244,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,347.86 : 457,554.72 = 163,213.37 : x
  2. Step 2: Convert to fraction form
    305,347.86/457,554.72 = 163,213.37/x
  3. Step 3: Cross multiply
    305,347.86x = 457,554.72 × 163,213.37
  4. Step 4: Simplify right side
    305,347.86x = 74,679,045,522.83
  5. Step 5: Solve for x
    x = 74,679,045,522.83/305,347.86
  6. Step 6: Final answer
    x = 244,570.39

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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.