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Finding the Fourth Proportional to 421,684.97, 581,915.27 and 230,699.93

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Solution

The fourth proportional to 421,684.97, 581,915.27 and 230,699.93 is: 318,360.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,684.97 : 581,915.27 = 230,699.93 : x
  2. Step 2: Convert to fraction form
    421,684.97/581,915.27 = 230,699.93/x
  3. Step 3: Cross multiply
    421,684.97x = 581,915.27 × 230,699.93
  4. Step 4: Simplify right side
    421,684.97x = 134,247,812,054.93
  5. Step 5: Solve for x
    x = 134,247,812,054.93/421,684.97
  6. Step 6: Final answer
    x = 318,360.44

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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.