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Finding the Fourth Proportional to 713,149,209.20, 1,069,723,813.80 and 649,659,724.40

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Solution

The fourth proportional to 713,149,209.20, 1,069,723,813.80 and 649,659,724.40 is: 974,489,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,149,209.20 : 1,069,723,813.80 = 649,659,724.40 : x
  2. Step 2: Convert to fraction form
    713,149,209.20/1,069,723,813.80 = 649,659,724.40/x
  3. Step 3: Cross multiply
    713,149,209.20x = 1,069,723,813.80 × 649,659,724.40
  4. Step 4: Simplify right side
    713,149,209.20x = 694,956,478,057,424,896
  5. Step 5: Solve for x
    x = 694,956,478,057,424,896/713,149,209.20
  6. Step 6: Final answer
    x = 974,489,586.60

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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.