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Finding the Fourth Proportional to 419,157.66, 578,437.64 and 228,172.49

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Solution

The fourth proportional to 419,157.66, 578,437.64 and 228,172.49 is: 314,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,157.66 : 578,437.64 = 228,172.49 : x
  2. Step 2: Convert to fraction form
    419,157.66/578,437.64 = 228,172.49/x
  3. Step 3: Cross multiply
    419,157.66x = 578,437.64 × 228,172.49
  4. Step 4: Simplify right side
    419,157.66x = 131,983,552,595.47
  5. Step 5: Solve for x
    x = 131,983,552,595.47/419,157.66
  6. Step 6: Final answer
    x = 314,878.06

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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.