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Finding the Fourth Proportional to 326,813.20, 488,907.60 and 282,927.40

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Solution

The fourth proportional to 326,813.20, 488,907.60 and 282,927.40 is: 423,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,813.20 : 488,907.60 = 282,927.40 : x
  2. Step 2: Convert to fraction form
    326,813.20/488,907.60 = 282,927.40/x
  3. Step 3: Cross multiply
    326,813.20x = 488,907.60 × 282,927.40
  4. Step 4: Simplify right side
    326,813.20x = 138,325,356,108.24
  5. Step 5: Solve for x
    x = 138,325,356,108.24/326,813.20
  6. Step 6: Final answer
    x = 423,255.11

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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.