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Finding the Fourth Proportional to 457,428.64, 630,463.41 and 304,192.95

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Solution

The fourth proportional to 457,428.64, 630,463.41 and 304,192.95 is: 419,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,428.64 : 630,463.41 = 304,192.95 : x
  2. Step 2: Convert to fraction form
    457,428.64/630,463.41 = 304,192.95/x
  3. Step 3: Cross multiply
    457,428.64x = 630,463.41 × 304,192.95
  4. Step 4: Simplify right side
    457,428.64x = 191,782,524,554.96
  5. Step 5: Solve for x
    x = 191,782,524,554.96/457,428.64
  6. Step 6: Final answer
    x = 419,262.17

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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.