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Finding the Fourth Proportional to 389,825.68, 537,953.64 and 217,746.04

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Solution

The fourth proportional to 389,825.68, 537,953.64 and 217,746.04 is: 300,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,825.68 : 537,953.64 = 217,746.04 : x
  2. Step 2: Convert to fraction form
    389,825.68/537,953.64 = 217,746.04/x
  3. Step 3: Cross multiply
    389,825.68x = 537,953.64 × 217,746.04
  4. Step 4: Simplify right side
    389,825.68x = 117,137,274,813.59
  5. Step 5: Solve for x
    x = 117,137,274,813.59/389,825.68
  6. Step 6: Final answer
    x = 300,486.30

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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.