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Finding the Fourth Proportional to 321,941.80, 482,718.30 and 144,415.72

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Solution

The fourth proportional to 321,941.80, 482,718.30 and 144,415.72 is: 216,536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,941.80 : 482,718.30 = 144,415.72 : x
  2. Step 2: Convert to fraction form
    321,941.80/482,718.30 = 144,415.72/x
  3. Step 3: Cross multiply
    321,941.80x = 482,718.30 × 144,415.72
  4. Step 4: Simplify right side
    321,941.80x = 69,712,110,851.68
  5. Step 5: Solve for x
    x = 69,712,110,851.68/321,941.80
  6. Step 6: Final answer
    x = 216,536.38

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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.