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Finding the Fourth Proportional to 256,551.76, 384,827.64 and 79,058.77

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Solution

The fourth proportional to 256,551.76, 384,827.64 and 79,058.77 is: 118,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,551.76 : 384,827.64 = 79,058.77 : x
  2. Step 2: Convert to fraction form
    256,551.76/384,827.64 = 79,058.77/x
  3. Step 3: Cross multiply
    256,551.76x = 384,827.64 × 79,058.77
  4. Step 4: Simplify right side
    256,551.76x = 30,423,999,180.61
  5. Step 5: Solve for x
    x = 30,423,999,180.61/256,551.76
  6. Step 6: Final answer
    x = 118,588.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.