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Finding the Fourth Proportional to 687,916, 949,411.62 and 415,985.86

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Solution

The fourth proportional to 687,916, 949,411.62 and 415,985.86 is: 574,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,916 : 949,411.62 = 415,985.86 : x
  2. Step 2: Convert to fraction form
    687,916/949,411.62 = 415,985.86/x
  3. Step 3: Cross multiply
    687,916x = 949,411.62 × 415,985.86
  4. Step 4: Simplify right side
    687,916x = 394,941,809,239.69
  5. Step 5: Solve for x
    x = 394,941,809,239.69/687,916
  6. Step 6: Final answer
    x = 574,113.42

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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.