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Finding the Fourth Proportional to 419,041.79, 578,266.58 and 228,051.08

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Solution

The fourth proportional to 419,041.79, 578,266.58 and 228,051.08 is: 314,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,041.79 : 578,266.58 = 228,051.08 : x
  2. Step 2: Convert to fraction form
    419,041.79/578,266.58 = 228,051.08/x
  3. Step 3: Cross multiply
    419,041.79x = 578,266.58 × 228,051.08
  4. Step 4: Simplify right side
    419,041.79x = 131,874,314,065.32
  5. Step 5: Solve for x
    x = 131,874,314,065.32/419,041.79
  6. Step 6: Final answer
    x = 314,704.45

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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.