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Finding the Fourth Proportional to 457,456.64, 630,502 and 304,220.96

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Solution

The fourth proportional to 457,456.64, 630,502 and 304,220.96 is: 419,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,456.64 : 630,502 = 304,220.96 : x
  2. Step 2: Convert to fraction form
    457,456.64/630,502 = 304,220.96/x
  3. Step 3: Cross multiply
    457,456.64x = 630,502 × 304,220.96
  4. Step 4: Simplify right side
    457,456.64x = 191,811,923,721.92
  5. Step 5: Solve for x
    x = 191,811,923,721.92/457,456.64
  6. Step 6: Final answer
    x = 419,300.78

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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.