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Finding the Fourth Proportional to 255,220.80, 382,549.14 and 105,378.48

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Solution

The fourth proportional to 255,220.80, 382,549.14 and 105,378.48 is: 157,951.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,220.80 : 382,549.14 = 105,378.48 : x
  2. Step 2: Convert to fraction form
    255,220.80/382,549.14 = 105,378.48/x
  3. Step 3: Cross multiply
    255,220.80x = 382,549.14 × 105,378.48
  4. Step 4: Simplify right side
    255,220.80x = 40,312,446,898.51
  5. Step 5: Solve for x
    x = 40,312,446,898.51/255,220.80
  6. Step 6: Final answer
    x = 157,951.26

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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.