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Finding the Fourth Proportional to 675,103.47, 931,659.02 and 384,708.83

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Solution

The fourth proportional to 675,103.47, 931,659.02 and 384,708.83 is: 530,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,103.47 : 931,659.02 = 384,708.83 : x
  2. Step 2: Convert to fraction form
    675,103.47/931,659.02 = 384,708.83/x
  3. Step 3: Cross multiply
    675,103.47x = 931,659.02 × 384,708.83
  4. Step 4: Simplify right side
    675,103.47x = 358,417,444,961.31
  5. Step 5: Solve for x
    x = 358,417,444,961.31/675,103.47
  6. Step 6: Final answer
    x = 530,907.43

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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.