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Finding the Fourth Proportional to 12,984,811.20, 19,472,624.10 and 4,463,165.70

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Solution

The fourth proportional to 12,984,811.20, 19,472,624.10 and 4,463,165.70 is: 6,693,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984,811.20 : 19,472,624.10 = 4,463,165.70 : x
  2. Step 2: Convert to fraction form
    12,984,811.20/19,472,624.10 = 4,463,165.70/x
  3. Step 3: Cross multiply
    12,984,811.20x = 19,472,624.10 × 4,463,165.70
  4. Step 4: Simplify right side
    12,984,811.20x = 86,909,547,972,113.38
  5. Step 5: Solve for x
    x = 86,909,547,972,113.38/12,984,811.20
  6. Step 6: Final answer
    x = 6,693,169.94

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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.