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Finding the Fourth Proportional to 978,383,904.84, 1,465,724,147.85 and 578,344,817.34

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Solution

The fourth proportional to 978,383,904.84, 1,465,724,147.85 and 578,344,817.34 is: 866,422,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,383,904.84 : 1,465,724,147.85 = 578,344,817.34 : x
  2. Step 2: Convert to fraction form
    978,383,904.84/1,465,724,147.85 = 578,344,817.34/x
  3. Step 3: Cross multiply
    978,383,904.84x = 1,465,724,147.85 × 578,344,817.34
  4. Step 4: Simplify right side
    978,383,904.84x = 847,693,964,559,135,360
  5. Step 5: Solve for x
    x = 847,693,964,559,135,360/978,383,904.84
  6. Step 6: Final answer
    x = 866,422,638.77

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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.