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Finding the Fourth Proportional to 421,475.32, 581,635.92 and 230,488.84

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Solution

The fourth proportional to 421,475.32, 581,635.92 and 230,488.84 is: 318,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,475.32 : 581,635.92 = 230,488.84 : x
  2. Step 2: Convert to fraction form
    421,475.32/581,635.92 = 230,488.84/x
  3. Step 3: Cross multiply
    421,475.32x = 581,635.92 × 230,488.84
  4. Step 4: Simplify right side
    421,475.32x = 134,060,588,503.13
  5. Step 5: Solve for x
    x = 134,060,588,503.13/421,475.32
  6. Step 6: Final answer
    x = 318,074.59

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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.