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Finding the Fourth Proportional to 277,805.76, 383,362.94 and 155,294.88

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Solution

The fourth proportional to 277,805.76, 383,362.94 and 155,294.88 is: 214,301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,805.76 : 383,362.94 = 155,294.88 : x
  2. Step 2: Convert to fraction form
    277,805.76/383,362.94 = 155,294.88/x
  3. Step 3: Cross multiply
    277,805.76x = 383,362.94 × 155,294.88
  4. Step 4: Simplify right side
    277,805.76x = 59,534,301,763.75
  5. Step 5: Solve for x
    x = 59,534,301,763.75/277,805.76
  6. Step 6: Final answer
    x = 214,301.90

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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.