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Finding the Fourth Proportional to 714,954.72, 986,725.06 and 413,148.72

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Solution

The fourth proportional to 714,954.72, 986,725.06 and 413,148.72 is: 570,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,954.72 : 986,725.06 = 413,148.72 : x
  2. Step 2: Convert to fraction form
    714,954.72/986,725.06 = 413,148.72/x
  3. Step 3: Cross multiply
    714,954.72x = 986,725.06 × 413,148.72
  4. Step 4: Simplify right side
    714,954.72x = 407,664,195,530.92
  5. Step 5: Solve for x
    x = 407,664,195,530.92/714,954.72
  6. Step 6: Final answer
    x = 570,195.82

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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.