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Finding the Fourth Proportional to 713,820.42, 985,292.72 and 459,171.63

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Solution

The fourth proportional to 713,820.42, 985,292.72 and 459,171.63 is: 633,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,820.42 : 985,292.72 = 459,171.63 : x
  2. Step 2: Convert to fraction form
    713,820.42/985,292.72 = 459,171.63/x
  3. Step 3: Cross multiply
    713,820.42x = 985,292.72 × 459,171.63
  4. Step 4: Simplify right side
    713,820.42x = 452,418,464,269.53
  5. Step 5: Solve for x
    x = 452,418,464,269.53/713,820.42
  6. Step 6: Final answer
    x = 633,798.71

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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.