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Finding the Fourth Proportional to 298,656,207.40, 447,984,311.10 and 238,190,031.40

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Solution

The fourth proportional to 298,656,207.40, 447,984,311.10 and 238,190,031.40 is: 357,285,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,656,207.40 : 447,984,311.10 = 238,190,031.40 : x
  2. Step 2: Convert to fraction form
    298,656,207.40/447,984,311.10 = 238,190,031.40/x
  3. Step 3: Cross multiply
    298,656,207.40x = 447,984,311.10 × 238,190,031.40
  4. Step 4: Simplify right side
    298,656,207.40x = 106,705,397,127,616,384
  5. Step 5: Solve for x
    x = 106,705,397,127,616,384/298,656,207.40
  6. Step 6: Final answer
    x = 357,285,047.10

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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.