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Finding the Fourth Proportional to 385,445.60, 577,707.60 and 198,360.80

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Solution

The fourth proportional to 385,445.60, 577,707.60 and 198,360.80 is: 297,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,445.60 : 577,707.60 = 198,360.80 : x
  2. Step 2: Convert to fraction form
    385,445.60/577,707.60 = 198,360.80/x
  3. Step 3: Cross multiply
    385,445.60x = 577,707.60 × 198,360.80
  4. Step 4: Simplify right side
    385,445.60x = 114,594,541,702.08
  5. Step 5: Solve for x
    x = 114,594,541,702.08/385,445.60
  6. Step 6: Final answer
    x = 297,304.06

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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.