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Finding the Fourth Proportional to 477,529.40, 658,994.70 and 259,739.82

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Solution

The fourth proportional to 477,529.40, 658,994.70 and 259,739.82 is: 358,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,529.40 : 658,994.70 = 259,739.82 : x
  2. Step 2: Convert to fraction form
    477,529.40/658,994.70 = 259,739.82/x
  3. Step 3: Cross multiply
    477,529.40x = 658,994.70 × 259,739.82
  4. Step 4: Simplify right side
    477,529.40x = 171,167,167,185.65
  5. Step 5: Solve for x
    x = 171,167,167,185.65/477,529.40
  6. Step 6: Final answer
    x = 358,443.20

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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.