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Finding the Fourth Proportional to 389,801.60, 584,702.40 and 109,366.40

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Solution

The fourth proportional to 389,801.60, 584,702.40 and 109,366.40 is: 164,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,801.60 : 584,702.40 = 109,366.40 : x
  2. Step 2: Convert to fraction form
    389,801.60/584,702.40 = 109,366.40/x
  3. Step 3: Cross multiply
    389,801.60x = 584,702.40 × 109,366.40
  4. Step 4: Simplify right side
    389,801.60x = 63,946,796,559.36
  5. Step 5: Solve for x
    x = 63,946,796,559.36/389,801.60
  6. Step 6: Final answer
    x = 164,049.60

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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.