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Finding the Fourth Proportional to 298,909.40, 418,784.20 and 298,909.40

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Solution

The fourth proportional to 298,909.40, 418,784.20 and 298,909.40 is: 418,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,909.40 : 418,784.20 = 298,909.40 : x
  2. Step 2: Convert to fraction form
    298,909.40/418,784.20 = 298,909.40/x
  3. Step 3: Cross multiply
    298,909.40x = 418,784.20 × 298,909.40
  4. Step 4: Simplify right side
    298,909.40x = 125,178,533,951.48
  5. Step 5: Solve for x
    x = 125,178,533,951.48/298,909.40
  6. Step 6: Final answer
    x = 418,784.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.