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Finding the Fourth Proportional to 219,647.60, 328,742.40 and 159,505.10

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Solution

The fourth proportional to 219,647.60, 328,742.40 and 159,505.10 is: 238,728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,647.60 : 328,742.40 = 159,505.10 : x
  2. Step 2: Convert to fraction form
    219,647.60/328,742.40 = 159,505.10/x
  3. Step 3: Cross multiply
    219,647.60x = 328,742.40 × 159,505.10
  4. Step 4: Simplify right side
    219,647.60x = 52,436,089,386.24
  5. Step 5: Solve for x
    x = 52,436,089,386.24/219,647.60
  6. Step 6: Final answer
    x = 238,728.26

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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.