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Finding the Fourth Proportional to 421,365.34, 581,485.22 and 230,391.06

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Solution

The fourth proportional to 421,365.34, 581,485.22 and 230,391.06 is: 317,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,365.34 : 581,485.22 = 230,391.06 : x
  2. Step 2: Convert to fraction form
    421,365.34/581,485.22 = 230,391.06/x
  3. Step 3: Cross multiply
    421,365.34x = 581,485.22 × 230,391.06
  4. Step 4: Simplify right side
    421,365.34x = 133,968,996,210.13
  5. Step 5: Solve for x
    x = 133,968,996,210.13/421,365.34
  6. Step 6: Final answer
    x = 317,940.24

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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.