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Finding the Fourth Proportional to 659,729.82, 910,423.35 and 357,917.34

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Solution

The fourth proportional to 659,729.82, 910,423.35 and 357,917.34 is: 493,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,729.82 : 910,423.35 = 357,917.34 : x
  2. Step 2: Convert to fraction form
    659,729.82/910,423.35 = 357,917.34/x
  3. Step 3: Cross multiply
    659,729.82x = 910,423.35 × 357,917.34
  4. Step 4: Simplify right side
    659,729.82x = 325,856,303,705.89
  5. Step 5: Solve for x
    x = 325,856,303,705.89/659,729.82
  6. Step 6: Final answer
    x = 493,923.87

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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.