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Finding the Fourth Proportional to 687,254, 948,825.24 and 449,204.72

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Solution

The fourth proportional to 687,254, 948,825.24 and 449,204.72 is: 620,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,254 : 948,825.24 = 449,204.72 : x
  2. Step 2: Convert to fraction form
    687,254/948,825.24 = 449,204.72/x
  3. Step 3: Cross multiply
    687,254x = 948,825.24 × 449,204.72
  4. Step 4: Simplify right side
    687,254x = 426,216,776,263.13
  5. Step 5: Solve for x
    x = 426,216,776,263.13/687,254
  6. Step 6: Final answer
    x = 620,173.58

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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.