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Finding the Fourth Proportional to 1,029,888,979.80, 1,544,833,469.70 and 917,018,784.60

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Solution

The fourth proportional to 1,029,888,979.80, 1,544,833,469.70 and 917,018,784.60 is: 1,375,528,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,888,979.80 : 1,544,833,469.70 = 917,018,784.60 : x
  2. Step 2: Convert to fraction form
    1,029,888,979.80/1,544,833,469.70 = 917,018,784.60/x
  3. Step 3: Cross multiply
    1,029,888,979.80x = 1,544,833,469.70 × 917,018,784.60
  4. Step 4: Simplify right side
    1,029,888,979.80x = 1,416,641,310,793,694,976
  5. Step 5: Solve for x
    x = 1,416,641,310,793,694,976/1,029,888,979.80
  6. Step 6: Final answer
    x = 1,375,528,176.90

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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.