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Finding the Fourth Proportional to 321,889.60, 482,920.80 and 287,070.40

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Solution

The fourth proportional to 321,889.60, 482,920.80 and 287,070.40 is: 430,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,889.60 : 482,920.80 = 287,070.40 : x
  2. Step 2: Convert to fraction form
    321,889.60/482,920.80 = 287,070.40/x
  3. Step 3: Cross multiply
    321,889.60x = 482,920.80 × 287,070.40
  4. Step 4: Simplify right side
    321,889.60x = 138,632,267,224.32
  5. Step 5: Solve for x
    x = 138,632,267,224.32/321,889.60
  6. Step 6: Final answer
    x = 430,682.65

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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.