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Finding the Fourth Proportional to 421,808.96, 582,072 and 230,826.08

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Solution

The fourth proportional to 421,808.96, 582,072 and 230,826.08 is: 318,526.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,808.96 : 582,072 = 230,826.08 : x
  2. Step 2: Convert to fraction form
    421,808.96/582,072 = 230,826.08/x
  3. Step 3: Cross multiply
    421,808.96x = 582,072 × 230,826.08
  4. Step 4: Simplify right side
    421,808.96x = 134,357,398,037.76
  5. Step 5: Solve for x
    x = 134,357,398,037.76/421,808.96
  6. Step 6: Final answer
    x = 318,526.66

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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.