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Finding the Fourth Proportional to 421,722.72, 581,991.20 and 230,731.76

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Solution

The fourth proportional to 421,722.72, 581,991.20 and 230,731.76 is: 318,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,722.72 : 581,991.20 = 230,731.76 : x
  2. Step 2: Convert to fraction form
    421,722.72/581,991.20 = 230,731.76/x
  3. Step 3: Cross multiply
    421,722.72x = 581,991.20 × 230,731.76
  4. Step 4: Simplify right side
    421,722.72x = 134,283,853,880.51
  5. Step 5: Solve for x
    x = 134,283,853,880.51/421,722.72
  6. Step 6: Final answer
    x = 318,417.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.