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Finding the Fourth Proportional to 477,658.50, 658,888.83 and 305,513.66

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Solution

The fourth proportional to 477,658.50, 658,888.83 and 305,513.66 is: 421,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,658.50 : 658,888.83 = 305,513.66 : x
  2. Step 2: Convert to fraction form
    477,658.50/658,888.83 = 305,513.66/x
  3. Step 3: Cross multiply
    477,658.50x = 658,888.83 × 305,513.66
  4. Step 4: Simplify right side
    477,658.50x = 201,299,535,927.39
  5. Step 5: Solve for x
    x = 201,299,535,927.39/477,658.50
  6. Step 6: Final answer
    x = 421,429.82

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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.