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Finding the Fourth Proportional to 389,184.63, 537,053.94 and 219,407.82

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Solution

The fourth proportional to 389,184.63, 537,053.94 and 219,407.82 is: 302,771.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,184.63 : 537,053.94 = 219,407.82 : x
  2. Step 2: Convert to fraction form
    389,184.63/537,053.94 = 219,407.82/x
  3. Step 3: Cross multiply
    389,184.63x = 537,053.94 × 219,407.82
  4. Step 4: Simplify right side
    389,184.63x = 117,833,834,197.81
  5. Step 5: Solve for x
    x = 117,833,834,197.81/389,184.63
  6. Step 6: Final answer
    x = 302,771.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.