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Finding the Fourth Proportional to 421,698.72, 581,955.12 and 230,720.16

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Solution

The fourth proportional to 421,698.72, 581,955.12 and 230,720.16 is: 318,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,698.72 : 581,955.12 = 230,720.16 : x
  2. Step 2: Convert to fraction form
    421,698.72/581,955.12 = 230,720.16/x
  3. Step 3: Cross multiply
    421,698.72x = 581,955.12 × 230,720.16
  4. Step 4: Simplify right side
    421,698.72x = 134,268,778,399.22
  5. Step 5: Solve for x
    x = 134,268,778,399.22/421,698.72
  6. Step 6: Final answer
    x = 318,399.78

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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.