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Finding the Fourth Proportional to 385,851.90, 578,583.45 and 228,128.70

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Solution

The fourth proportional to 385,851.90, 578,583.45 and 228,128.70 is: 342,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,851.90 : 578,583.45 = 228,128.70 : x
  2. Step 2: Convert to fraction form
    385,851.90/578,583.45 = 228,128.70/x
  3. Step 3: Cross multiply
    385,851.90x = 578,583.45 × 228,128.70
  4. Step 4: Simplify right side
    385,851.90x = 131,991,490,290.02
  5. Step 5: Solve for x
    x = 131,991,490,290.02/385,851.90
  6. Step 6: Final answer
    x = 342,078.11

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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.