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Finding the Fourth Proportional to 419,070.65, 578,317.50 and 228,085.43

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Solution

The fourth proportional to 419,070.65, 578,317.50 and 228,085.43 is: 314,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,070.65 : 578,317.50 = 228,085.43 : x
  2. Step 2: Convert to fraction form
    419,070.65/578,317.50 = 228,085.43/x
  3. Step 3: Cross multiply
    419,070.65x = 578,317.50 × 228,085.43
  4. Step 4: Simplify right side
    419,070.65x = 131,905,792,772.44
  5. Step 5: Solve for x
    x = 131,905,792,772.44/419,070.65
  6. Step 6: Final answer
    x = 314,757.89

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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.