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Finding the Fourth Proportional to 671,665, 1,007,532.10 and 191,854.96

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Solution

The fourth proportional to 671,665, 1,007,532.10 and 191,854.96 is: 287,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,665 : 1,007,532.10 = 191,854.96 : x
  2. Step 2: Convert to fraction form
    671,665/1,007,532.10 = 191,854.96/x
  3. Step 3: Cross multiply
    671,665x = 1,007,532.10 × 191,854.96
  4. Step 4: Simplify right side
    671,665x = 193,300,030,744.22
  5. Step 5: Solve for x
    x = 193,300,030,744.22/671,665
  6. Step 6: Final answer
    x = 287,792.32

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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.