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Finding the Fourth Proportional to 256,952.19, 385,295.49 and 112,799.01

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Solution

The fourth proportional to 256,952.19, 385,295.49 and 112,799.01 is: 169,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,952.19 : 385,295.49 = 112,799.01 : x
  2. Step 2: Convert to fraction form
    256,952.19/385,295.49 = 112,799.01/x
  3. Step 3: Cross multiply
    256,952.19x = 385,295.49 × 112,799.01
  4. Step 4: Simplify right side
    256,952.19x = 43,460,949,829.46
  5. Step 5: Solve for x
    x = 43,460,949,829.46/256,952.19
  6. Step 6: Final answer
    x = 169,140.22

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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.