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Finding the Fourth Proportional to 703,662,998.50, 971,052,273.11 and 386,128,557.16

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Solution

The fourth proportional to 703,662,998.50, 971,052,273.11 and 386,128,557.16 is: 532,855,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,662,998.50 : 971,052,273.11 = 386,128,557.16 : x
  2. Step 2: Convert to fraction form
    703,662,998.50/971,052,273.11 = 386,128,557.16/x
  3. Step 3: Cross multiply
    703,662,998.50x = 971,052,273.11 × 386,128,557.16
  4. Step 4: Simplify right side
    703,662,998.50x = 374,951,013,141,440,256
  5. Step 5: Solve for x
    x = 374,951,013,141,440,256/703,662,998.50
  6. Step 6: Final answer
    x = 532,855,946.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.