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Finding the Fourth Proportional to 798,428,778.40, 1,197,643,167.60 and 798,428,778.40

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Solution

The fourth proportional to 798,428,778.40, 1,197,643,167.60 and 798,428,778.40 is: 1,197,643,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,428,778.40 : 1,197,643,167.60 = 798,428,778.40 : x
  2. Step 2: Convert to fraction form
    798,428,778.40/1,197,643,167.60 = 798,428,778.40/x
  3. Step 3: Cross multiply
    798,428,778.40x = 1,197,643,167.60 × 798,428,778.40
  4. Step 4: Simplify right side
    798,428,778.40x = 956,232,771,265,974,400
  5. Step 5: Solve for x
    x = 956,232,771,265,974,400/798,428,778.40
  6. Step 6: Final answer
    x = 1,197,643,167.60

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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.