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Finding the Fourth Proportional to 714,292.89, 985,659.01 and 423,854.33

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Solution

The fourth proportional to 714,292.89, 985,659.01 and 423,854.33 is: 584,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,292.89 : 985,659.01 = 423,854.33 : x
  2. Step 2: Convert to fraction form
    714,292.89/985,659.01 = 423,854.33/x
  3. Step 3: Cross multiply
    714,292.89x = 985,659.01 × 423,854.33
  4. Step 4: Simplify right side
    714,292.89x = 417,775,840,696.53
  5. Step 5: Solve for x
    x = 417,775,840,696.53/714,292.89
  6. Step 6: Final answer
    x = 584,880.30

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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.