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Finding the Fourth Proportional to 389,078.60, 583,293.90 and 164,611.40

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Solution

The fourth proportional to 389,078.60, 583,293.90 and 164,611.40 is: 246,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,078.60 : 583,293.90 = 164,611.40 : x
  2. Step 2: Convert to fraction form
    389,078.60/583,293.90 = 164,611.40/x
  3. Step 3: Cross multiply
    389,078.60x = 583,293.90 × 164,611.40
  4. Step 4: Simplify right side
    389,078.60x = 96,016,825,490.46
  5. Step 5: Solve for x
    x = 96,016,825,490.46/389,078.60
  6. Step 6: Final answer
    x = 246,780.02

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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.