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Finding the Fourth Proportional to 284,556.42, 392,687.73 and 157,230.90

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Solution

The fourth proportional to 284,556.42, 392,687.73 and 157,230.90 is: 216,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,556.42 : 392,687.73 = 157,230.90 : x
  2. Step 2: Convert to fraction form
    284,556.42/392,687.73 = 157,230.90/x
  3. Step 3: Cross multiply
    284,556.42x = 392,687.73 × 157,230.90
  4. Step 4: Simplify right side
    284,556.42x = 61,742,645,206.86
  5. Step 5: Solve for x
    x = 61,742,645,206.86/284,556.42
  6. Step 6: Final answer
    x = 216,978.57

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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.