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Finding the Fourth Proportional to 290,422,903.20, 435,634,354.80 and 224,665,936.80

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Solution

The fourth proportional to 290,422,903.20, 435,634,354.80 and 224,665,936.80 is: 336,998,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,422,903.20 : 435,634,354.80 = 224,665,936.80 : x
  2. Step 2: Convert to fraction form
    290,422,903.20/435,634,354.80 = 224,665,936.80/x
  3. Step 3: Cross multiply
    290,422,903.20x = 435,634,354.80 × 224,665,936.80
  4. Step 4: Simplify right side
    290,422,903.20x = 97,872,200,423,405,584
  5. Step 5: Solve for x
    x = 97,872,200,423,405,584/290,422,903.20
  6. Step 6: Final answer
    x = 336,998,905.20

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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.