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Finding the Fourth Proportional to 1,259,686.75, 1,738,358.86 and 686,731.02

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Solution

The fourth proportional to 1,259,686.75, 1,738,358.86 and 686,731.02 is: 947,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,686.75 : 1,738,358.86 = 686,731.02 : x
  2. Step 2: Convert to fraction form
    1,259,686.75/1,738,358.86 = 686,731.02/x
  3. Step 3: Cross multiply
    1,259,686.75x = 1,738,358.86 × 686,731.02
  4. Step 4: Simplify right side
    1,259,686.75x = 1,193,784,953,053.84
  5. Step 5: Solve for x
    x = 1,193,784,953,053.84/1,259,686.75
  6. Step 6: Final answer
    x = 947,683.98

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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.