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Finding the Fourth Proportional to 284,775.82, 392,978.19 and 155,711.86

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Solution

The fourth proportional to 284,775.82, 392,978.19 and 155,711.86 is: 214,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,775.82 : 392,978.19 = 155,711.86 : x
  2. Step 2: Convert to fraction form
    284,775.82/392,978.19 = 155,711.86/x
  3. Step 3: Cross multiply
    284,775.82x = 392,978.19 × 155,711.86
  4. Step 4: Simplify right side
    284,775.82x = 61,191,364,904.33
  5. Step 5: Solve for x
    x = 61,191,364,904.33/284,775.82
  6. Step 6: Final answer
    x = 214,875.56

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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.