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Finding the Fourth Proportional to 457,634.94, 631,506.15 and 256,392.06

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Solution

The fourth proportional to 457,634.94, 631,506.15 and 256,392.06 is: 353,804.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,634.94 : 631,506.15 = 256,392.06 : x
  2. Step 2: Convert to fraction form
    457,634.94/631,506.15 = 256,392.06/x
  3. Step 3: Cross multiply
    457,634.94x = 631,506.15 × 256,392.06
  4. Step 4: Simplify right side
    457,634.94x = 161,913,162,701.17
  5. Step 5: Solve for x
    x = 161,913,162,701.17/457,634.94
  6. Step 6: Final answer
    x = 353,804.20

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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.