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Finding the Fourth Proportional to 786,624,019.20, 1,179,936,028.80 and 541,736,006.40

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Solution

The fourth proportional to 786,624,019.20, 1,179,936,028.80 and 541,736,006.40 is: 812,604,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,624,019.20 : 1,179,936,028.80 = 541,736,006.40 : x
  2. Step 2: Convert to fraction form
    786,624,019.20/1,179,936,028.80 = 541,736,006.40/x
  3. Step 3: Cross multiply
    786,624,019.20x = 1,179,936,028.80 × 541,736,006.40
  4. Step 4: Simplify right side
    786,624,019.20x = 639,213,832,049,587,328
  5. Step 5: Solve for x
    x = 639,213,832,049,587,328/786,624,019.20
  6. Step 6: Final answer
    x = 812,604,009.60

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1.5x scale

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.