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Finding the Fourth Proportional to 290,438,511.20, 407,634,282.40 and 290,438,511.20

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Solution

The fourth proportional to 290,438,511.20, 407,634,282.40 and 290,438,511.20 is: 407,634,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,438,511.20 : 407,634,282.40 = 290,438,511.20 : x
  2. Step 2: Convert to fraction form
    290,438,511.20/407,634,282.40 = 290,438,511.20/x
  3. Step 3: Cross multiply
    290,438,511.20x = 407,634,282.40 × 290,438,511.20
  4. Step 4: Simplify right side
    290,438,511.20x = 118,392,694,094,336,352
  5. Step 5: Solve for x
    x = 118,392,694,094,336,352/290,438,511.20
  6. Step 6: Final answer
    x = 407,634,282.40

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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.