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Finding the Fourth Proportional to 421,568.34, 581,768.90 and 230,577.63

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Solution

The fourth proportional to 421,568.34, 581,768.90 and 230,577.63 is: 318,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,568.34 : 581,768.90 = 230,577.63 : x
  2. Step 2: Convert to fraction form
    421,568.34/581,768.90 = 230,577.63/x
  3. Step 3: Cross multiply
    421,568.34x = 581,768.90 × 230,577.63
  4. Step 4: Simplify right side
    421,568.34x = 134,142,894,169.71
  5. Step 5: Solve for x
    x = 134,142,894,169.71/421,568.34
  6. Step 6: Final answer
    x = 318,199.64

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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.