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Finding the Fourth Proportional to 384,978.48, 531,186.84 and 215,206.80

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Solution

The fourth proportional to 384,978.48, 531,186.84 and 215,206.80 is: 296,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,978.48 : 531,186.84 = 215,206.80 : x
  2. Step 2: Convert to fraction form
    384,978.48/531,186.84 = 215,206.80/x
  3. Step 3: Cross multiply
    384,978.48x = 531,186.84 × 215,206.80
  4. Step 4: Simplify right side
    384,978.48x = 114,315,020,038.51
  5. Step 5: Solve for x
    x = 114,315,020,038.51/384,978.48
  6. Step 6: Final answer
    x = 296,938.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.