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Finding the Fourth Proportional to 421,670.72, 581,903.52 and 230,680.64

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Solution

The fourth proportional to 421,670.72, 581,903.52 and 230,680.64 is: 318,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,670.72 : 581,903.52 = 230,680.64 : x
  2. Step 2: Convert to fraction form
    421,670.72/581,903.52 = 230,680.64/x
  3. Step 3: Cross multiply
    421,670.72x = 581,903.52 × 230,680.64
  4. Step 4: Simplify right side
    421,670.72x = 134,233,876,411.85
  5. Step 5: Solve for x
    x = 134,233,876,411.85/421,670.72
  6. Step 6: Final answer
    x = 318,338.15

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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.