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Finding the Fourth Proportional to 477,087.66, 658,534.40 and 305,467.89

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Solution

The fourth proportional to 477,087.66, 658,534.40 and 305,467.89 is: 421,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,087.66 : 658,534.40 = 305,467.89 : x
  2. Step 2: Convert to fraction form
    477,087.66/658,534.40 = 305,467.89/x
  3. Step 3: Cross multiply
    477,087.66x = 658,534.40 × 305,467.89
  4. Step 4: Simplify right side
    477,087.66x = 201,161,112,133.08
  5. Step 5: Solve for x
    x = 201,161,112,133.08/477,087.66
  6. Step 6: Final answer
    x = 421,643.92

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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.