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Finding the Fourth Proportional to 477,659.00, 658,889.52 and 305,514.16

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Solution

The fourth proportional to 477,659.00, 658,889.52 and 305,514.16 is: 421,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,659.00 : 658,889.52 = 305,514.16 : x
  2. Step 2: Convert to fraction form
    477,659.00/658,889.52 = 305,514.16/x
  3. Step 3: Cross multiply
    477,659.00x = 658,889.52 × 305,514.16
  4. Step 4: Simplify right side
    477,659.00x = 201,300,076,588.38
  5. Step 5: Solve for x
    x = 201,300,076,588.38/477,659.00
  6. Step 6: Final answer
    x = 421,430.51

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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.