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Finding the Fourth Proportional to 256,828.76, 385,295.69 and 88,327.16

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Solution

The fourth proportional to 256,828.76, 385,295.69 and 88,327.16 is: 132,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,828.76 : 385,295.69 = 88,327.16 : x
  2. Step 2: Convert to fraction form
    256,828.76/385,295.69 = 88,327.16/x
  3. Step 3: Cross multiply
    256,828.76x = 385,295.69 × 88,327.16
  4. Step 4: Simplify right side
    256,828.76x = 34,032,075,242.00
  5. Step 5: Solve for x
    x = 34,032,075,242.00/256,828.76
  6. Step 6: Final answer
    x = 132,508.82

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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.