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Finding the Fourth Proportional to 768,659,106.80, 1,152,988,660.20 and 732,946,271.60

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Solution

The fourth proportional to 768,659,106.80, 1,152,988,660.20 and 732,946,271.60 is: 1,099,419,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,659,106.80 : 1,152,988,660.20 = 732,946,271.60 : x
  2. Step 2: Convert to fraction form
    768,659,106.80/1,152,988,660.20 = 732,946,271.60/x
  3. Step 3: Cross multiply
    768,659,106.80x = 1,152,988,660.20 × 732,946,271.60
  4. Step 4: Simplify right side
    768,659,106.80x = 845,078,739,690,669,312
  5. Step 5: Solve for x
    x = 845,078,739,690,669,312/768,659,106.80
  6. Step 6: Final answer
    x = 1,099,419,407.40

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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.