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Finding the Fourth Proportional to 256,271.76, 384,655.68 and 123,243.84

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Solution

The fourth proportional to 256,271.76, 384,655.68 and 123,243.84 is: 184,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,271.76 : 384,655.68 = 123,243.84 : x
  2. Step 2: Convert to fraction form
    256,271.76/384,655.68 = 123,243.84/x
  3. Step 3: Cross multiply
    256,271.76x = 384,655.68 × 123,243.84
  4. Step 4: Simplify right side
    256,271.76x = 47,406,443,081.01
  5. Step 5: Solve for x
    x = 47,406,443,081.01/256,271.76
  6. Step 6: Final answer
    x = 184,985.05

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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.