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Finding the Fourth Proportional to 971,073,957.65, 1,455,984,664.32 and 380,923,827.18

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Solution

The fourth proportional to 971,073,957.65, 1,455,984,664.32 and 380,923,827.18 is: 571,140,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,073,957.65 : 1,455,984,664.32 = 380,923,827.18 : x
  2. Step 2: Convert to fraction form
    971,073,957.65/1,455,984,664.32 = 380,923,827.18/x
  3. Step 3: Cross multiply
    971,073,957.65x = 1,455,984,664.32 × 380,923,827.18
  4. Step 4: Simplify right side
    971,073,957.65x = 554,619,250,644,149,568
  5. Step 5: Solve for x
    x = 554,619,250,644,149,568/971,073,957.65
  6. Step 6: Final answer
    x = 571,140,072.57

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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.