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Finding the Fourth Proportional to 816,137,319.60, 1,224,205,979.40 and 816,137,319.60

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Solution

The fourth proportional to 816,137,319.60, 1,224,205,979.40 and 816,137,319.60 is: 1,224,205,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,137,319.60 : 1,224,205,979.40 = 816,137,319.60 : x
  2. Step 2: Convert to fraction form
    816,137,319.60/1,224,205,979.40 = 816,137,319.60/x
  3. Step 3: Cross multiply
    816,137,319.60x = 1,224,205,979.40 × 816,137,319.60
  4. Step 4: Simplify right side
    816,137,319.60x = 999,120,186,665,808,896
  5. Step 5: Solve for x
    x = 999,120,186,665,808,896/816,137,319.60
  6. Step 6: Final answer
    x = 1,224,205,979.40

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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.