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Finding the Fourth Proportional to 449,726.81, 620,733.21 and 256,248.59

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Solution

The fourth proportional to 449,726.81, 620,733.21 and 256,248.59 is: 353,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,726.81 : 620,733.21 = 256,248.59 : x
  2. Step 2: Convert to fraction form
    449,726.81/620,733.21 = 256,248.59/x
  3. Step 3: Cross multiply
    449,726.81x = 620,733.21 × 256,248.59
  4. Step 4: Simplify right side
    449,726.81x = 159,062,009,828.67
  5. Step 5: Solve for x
    x = 159,062,009,828.67/449,726.81
  6. Step 6: Final answer
    x = 353,685.85

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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.