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Finding the Fourth Proportional to 256,969.82, 385,352.58 and 99,097.58

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Solution

The fourth proportional to 256,969.82, 385,352.58 and 99,097.58 is: 148,606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,969.82 : 385,352.58 = 99,097.58 : x
  2. Step 2: Convert to fraction form
    256,969.82/385,352.58 = 99,097.58/x
  3. Step 3: Cross multiply
    256,969.82x = 385,352.58 × 99,097.58
  4. Step 4: Simplify right side
    256,969.82x = 38,187,508,124.76
  5. Step 5: Solve for x
    x = 38,187,508,124.76/256,969.82
  6. Step 6: Final answer
    x = 148,606.98

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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.