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Finding the Fourth Proportional to 419,108.78, 628,756.93 and 152,869.31

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Solution

The fourth proportional to 419,108.78, 628,756.93 and 152,869.31 is: 229,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,108.78 : 628,756.93 = 152,869.31 : x
  2. Step 2: Convert to fraction form
    419,108.78/628,756.93 = 152,869.31/x
  3. Step 3: Cross multiply
    419,108.78x = 628,756.93 × 152,869.31
  4. Step 4: Simplify right side
    419,108.78x = 96,117,637,451.96
  5. Step 5: Solve for x
    x = 96,117,637,451.96/419,108.78
  6. Step 6: Final answer
    x = 229,338.16

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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.