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Finding the Fourth Proportional to 321,796.80, 483,472.80 and 287,582.40

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Solution

The fourth proportional to 321,796.80, 483,472.80 and 287,582.40 is: 432,068.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,796.80 : 483,472.80 = 287,582.40 : x
  2. Step 2: Convert to fraction form
    321,796.80/483,472.80 = 287,582.40/x
  3. Step 3: Cross multiply
    321,796.80x = 483,472.80 × 287,582.40
  4. Step 4: Simplify right side
    321,796.80x = 139,038,268,158.72
  5. Step 5: Solve for x
    x = 139,038,268,158.72/321,796.80
  6. Step 6: Final answer
    x = 432,068.52

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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.