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Finding the Fourth Proportional to 866,641,661.84, 1,195,967,811.44 and 470,164,651.40

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Solution

The fourth proportional to 866,641,661.84, 1,195,967,811.44 and 470,164,651.40 is: 648,828,476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,641,661.84 : 1,195,967,811.44 = 470,164,651.40 : x
  2. Step 2: Convert to fraction form
    866,641,661.84/1,195,967,811.44 = 470,164,651.40/x
  3. Step 3: Cross multiply
    866,641,661.84x = 1,195,967,811.44 × 470,164,651.40
  4. Step 4: Simplify right side
    866,641,661.84x = 562,301,789,145,328,704
  5. Step 5: Solve for x
    x = 562,301,789,145,328,704/866,641,661.84
  6. Step 6: Final answer
    x = 648,828,476.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.