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Finding the Fourth Proportional to 7,788,318.40, 11,678,978.40 and 2,994,414.40

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Solution

The fourth proportional to 7,788,318.40, 11,678,978.40 and 2,994,414.40 is: 4,490,276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788,318.40 : 11,678,978.40 = 2,994,414.40 : x
  2. Step 2: Convert to fraction form
    7,788,318.40/11,678,978.40 = 2,994,414.40/x
  3. Step 3: Cross multiply
    7,788,318.40x = 11,678,978.40 × 2,994,414.40
  4. Step 4: Simplify right side
    7,788,318.40x = 34,971,701,098,248.96
  5. Step 5: Solve for x
    x = 34,971,701,098,248.96/7,788,318.40
  6. Step 6: Final answer
    x = 4,490,276.24

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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.