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Finding the Fourth Proportional to 421,580.16, 581,772.48 and 230,592.96

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Solution

The fourth proportional to 421,580.16, 581,772.48 and 230,592.96 is: 318,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,580.16 : 581,772.48 = 230,592.96 : x
  2. Step 2: Convert to fraction form
    421,580.16/581,772.48 = 230,592.96/x
  3. Step 3: Cross multiply
    421,580.16x = 581,772.48 × 230,592.96
  4. Step 4: Simplify right side
    421,580.16x = 134,152,638,209.74
  5. Step 5: Solve for x
    x = 134,152,638,209.74/421,580.16
  6. Step 6: Final answer
    x = 318,213.83

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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.