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Finding the Fourth Proportional to 355,475.72, 487,945.24 and 314,287.20

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Solution

The fourth proportional to 355,475.72, 487,945.24 and 314,287.20 is: 431,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,475.72 : 487,945.24 = 314,287.20 : x
  2. Step 2: Convert to fraction form
    355,475.72/487,945.24 = 314,287.20/x
  3. Step 3: Cross multiply
    355,475.72x = 487,945.24 × 314,287.20
  4. Step 4: Simplify right side
    355,475.72x = 153,354,943,232.93
  5. Step 5: Solve for x
    x = 153,354,943,232.93/355,475.72
  6. Step 6: Final answer
    x = 431,407.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.