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Finding the Fourth Proportional to 419,040.90, 628,561.35 and 152,810.10

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Solution

The fourth proportional to 419,040.90, 628,561.35 and 152,810.10 is: 229,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,040.90 : 628,561.35 = 152,810.10 : x
  2. Step 2: Convert to fraction form
    419,040.90/628,561.35 = 152,810.10/x
  3. Step 3: Cross multiply
    419,040.90x = 628,561.35 × 152,810.10
  4. Step 4: Simplify right side
    419,040.90x = 96,050,522,749.64
  5. Step 5: Solve for x
    x = 96,050,522,749.64/419,040.90
  6. Step 6: Final answer
    x = 229,215.15

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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.