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Finding the Fourth Proportional to 255,632.52, 382,890 and 210,755.28

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Solution

The fourth proportional to 255,632.52, 382,890 and 210,755.28 is: 315,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,632.52 : 382,890 = 210,755.28 : x
  2. Step 2: Convert to fraction form
    255,632.52/382,890 = 210,755.28/x
  3. Step 3: Cross multiply
    255,632.52x = 382,890 × 210,755.28
  4. Step 4: Simplify right side
    255,632.52x = 80,696,089,159.20
  5. Step 5: Solve for x
    x = 80,696,089,159.20/255,632.52
  6. Step 6: Final answer
    x = 315,672.24

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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.