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Finding the Fourth Proportional to 256,790.34, 385,184.43 and 69,801.30

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Solution

The fourth proportional to 256,790.34, 385,184.43 and 69,801.30 is: 104,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,790.34 : 385,184.43 = 69,801.30 : x
  2. Step 2: Convert to fraction form
    256,790.34/385,184.43 = 69,801.30/x
  3. Step 3: Cross multiply
    256,790.34x = 385,184.43 × 69,801.30
  4. Step 4: Simplify right side
    256,790.34x = 26,886,373,953.76
  5. Step 5: Solve for x
    x = 26,886,373,953.76/256,790.34
  6. Step 6: Final answer
    x = 104,701.66

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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.