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Finding the Fourth Proportional to 668,178, 1,001,790.86 and 312,998.27

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Solution

The fourth proportional to 668,178, 1,001,790.86 and 312,998.27 is: 469,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,178 : 1,001,790.86 = 312,998.27 : x
  2. Step 2: Convert to fraction form
    668,178/1,001,790.86 = 312,998.27/x
  3. Step 3: Cross multiply
    668,178x = 1,001,790.86 × 312,998.27
  4. Step 4: Simplify right side
    668,178x = 313,558,799,507.87
  5. Step 5: Solve for x
    x = 313,558,799,507.87/668,178
  6. Step 6: Final answer
    x = 469,274.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.