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Finding the Fourth Proportional to 385,102.40, 577,653.60 and 198,478.40

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Solution

The fourth proportional to 385,102.40, 577,653.60 and 198,478.40 is: 297,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,102.40 : 577,653.60 = 198,478.40 : x
  2. Step 2: Convert to fraction form
    385,102.40/577,653.60 = 198,478.40/x
  3. Step 3: Cross multiply
    385,102.40x = 577,653.60 × 198,478.40
  4. Step 4: Simplify right side
    385,102.40x = 114,651,762,282.24
  5. Step 5: Solve for x
    x = 114,651,762,282.24/385,102.40
  6. Step 6: Final answer
    x = 297,717.60

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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.