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Finding the Fourth Proportional to 255,280.80, 382,921.28 and 114,875.40

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Solution

The fourth proportional to 255,280.80, 382,921.28 and 114,875.40 is: 172,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,280.80 : 382,921.28 = 114,875.40 : x
  2. Step 2: Convert to fraction form
    255,280.80/382,921.28 = 114,875.40/x
  3. Step 3: Cross multiply
    255,280.80x = 382,921.28 × 114,875.40
  4. Step 4: Simplify right side
    255,280.80x = 43,988,235,208.51
  5. Step 5: Solve for x
    x = 43,988,235,208.51/255,280.80
  6. Step 6: Final answer
    x = 172,313.14

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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.