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Finding the Fourth Proportional to 280,383.86, 386,927.70 and 153,059.42

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Solution

The fourth proportional to 280,383.86, 386,927.70 and 153,059.42 is: 211,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,383.86 : 386,927.70 = 153,059.42 : x
  2. Step 2: Convert to fraction form
    280,383.86/386,927.70 = 153,059.42/x
  3. Step 3: Cross multiply
    280,383.86x = 386,927.70 × 153,059.42
  4. Step 4: Simplify right side
    280,383.86x = 59,222,929,343.93
  5. Step 5: Solve for x
    x = 59,222,929,343.93/280,383.86
  6. Step 6: Final answer
    x = 211,220.89

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1.5x scale

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.