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Finding the Fourth Proportional to 255,313.17, 382,703.54 and 142,828.47

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Solution

The fourth proportional to 255,313.17, 382,703.54 and 142,828.47 is: 214,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,313.17 : 382,703.54 = 142,828.47 : x
  2. Step 2: Convert to fraction form
    255,313.17/382,703.54 = 142,828.47/x
  3. Step 3: Cross multiply
    255,313.17x = 382,703.54 × 142,828.47
  4. Step 4: Simplify right side
    255,313.17x = 54,660,960,367.64
  5. Step 5: Solve for x
    x = 54,660,960,367.64/255,313.17
  6. Step 6: Final answer
    x = 214,093.77

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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.