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Finding the Fourth Proportional to 419,157.19, 578,436.99 and 228,172.01

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Solution

The fourth proportional to 419,157.19, 578,436.99 and 228,172.01 is: 314,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,157.19 : 578,436.99 = 228,172.01 : x
  2. Step 2: Convert to fraction form
    419,157.19/578,436.99 = 228,172.01/x
  3. Step 3: Cross multiply
    419,157.19x = 578,436.99 × 228,172.01
  4. Step 4: Simplify right side
    419,157.19x = 131,983,130,666.65
  5. Step 5: Solve for x
    x = 131,983,130,666.65/419,157.19
  6. Step 6: Final answer
    x = 314,877.41

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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.