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Finding the Fourth Proportional to 1,029,888,970.80, 1,544,833,456.20 and 917,018,775.60

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Solution

The fourth proportional to 1,029,888,970.80, 1,544,833,456.20 and 917,018,775.60 is: 1,375,528,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,888,970.80 : 1,544,833,456.20 = 917,018,775.60 : x
  2. Step 2: Convert to fraction form
    1,029,888,970.80/1,544,833,456.20 = 917,018,775.60/x
  3. Step 3: Cross multiply
    1,029,888,970.80x = 1,544,833,456.20 × 917,018,775.60
  4. Step 4: Simplify right side
    1,029,888,970.80x = 1,416,641,284,510,440,192
  5. Step 5: Solve for x
    x = 1,416,641,284,510,440,192/1,029,888,970.80
  6. Step 6: Final answer
    x = 1,375,528,163.40

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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.