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Finding the Fourth Proportional to 328,980.20, 453,994.05 and 178,077.20

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Solution

The fourth proportional to 328,980.20, 453,994.05 and 178,077.20 is: 245,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,980.20 : 453,994.05 = 178,077.20 : x
  2. Step 2: Convert to fraction form
    328,980.20/453,994.05 = 178,077.20/x
  3. Step 3: Cross multiply
    328,980.20x = 453,994.05 × 178,077.20
  4. Step 4: Simplify right side
    328,980.20x = 80,845,986,970.69
  5. Step 5: Solve for x
    x = 80,845,986,970.69/328,980.20
  6. Step 6: Final answer
    x = 245,747.28

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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.