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Finding the Fourth Proportional to 321,840.48, 482,352.16 and 144,340.32

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Solution

The fourth proportional to 321,840.48, 482,352.16 and 144,340.32 is: 216,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,840.48 : 482,352.16 = 144,340.32 : x
  2. Step 2: Convert to fraction form
    321,840.48/482,352.16 = 144,340.32/x
  3. Step 3: Cross multiply
    321,840.48x = 482,352.16 × 144,340.32
  4. Step 4: Simplify right side
    321,840.48x = 69,622,865,127.09
  5. Step 5: Solve for x
    x = 69,622,865,127.09/321,840.48
  6. Step 6: Final answer
    x = 216,327.25

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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.