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Finding the Fourth Proportional to 381,848, 572,628 and 306,783.68

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Solution

The fourth proportional to 381,848, 572,628 and 306,783.68 is: 460,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,848 : 572,628 = 306,783.68 : x
  2. Step 2: Convert to fraction form
    381,848/572,628 = 306,783.68/x
  3. Step 3: Cross multiply
    381,848x = 572,628 × 306,783.68
  4. Step 4: Simplify right side
    381,848x = 175,672,925,111.04
  5. Step 5: Solve for x
    x = 175,672,925,111.04/381,848
  6. Step 6: Final answer
    x = 460,059.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.