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Finding the Fourth Proportional to 422,577,008.80, 633,865,513.20 and 300,133,002.40

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Solution

The fourth proportional to 422,577,008.80, 633,865,513.20 and 300,133,002.40 is: 450,199,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,577,008.80 : 633,865,513.20 = 300,133,002.40 : x
  2. Step 2: Convert to fraction form
    422,577,008.80/633,865,513.20 = 300,133,002.40/x
  3. Step 3: Cross multiply
    422,577,008.80x = 633,865,513.20 × 300,133,002.40
  4. Step 4: Simplify right side
    422,577,008.80x = 190,243,959,594,532,832
  5. Step 5: Solve for x
    x = 190,243,959,594,532,832/422,577,008.80
  6. Step 6: Final answer
    x = 450,199,503.60

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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.