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Finding the Fourth Proportional to 256,800.30, 385,200.45 and 67,260.30

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Solution

The fourth proportional to 256,800.30, 385,200.45 and 67,260.30 is: 100,890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,800.30 : 385,200.45 = 67,260.30 : x
  2. Step 2: Convert to fraction form
    256,800.30/385,200.45 = 67,260.30/x
  3. Step 3: Cross multiply
    256,800.30x = 385,200.45 × 67,260.30
  4. Step 4: Simplify right side
    256,800.30x = 25,908,697,827.14
  5. Step 5: Solve for x
    x = 25,908,697,827.14/256,800.30
  6. Step 6: Final answer
    x = 100,890.45

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1.5x scale

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.