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Finding the Fourth Proportional to 421,258.56, 581,162.76 and 294,008.64

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Solution

The fourth proportional to 421,258.56, 581,162.76 and 294,008.64 is: 405,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,258.56 : 581,162.76 = 294,008.64 : x
  2. Step 2: Convert to fraction form
    421,258.56/581,162.76 = 294,008.64/x
  3. Step 3: Cross multiply
    421,258.56x = 581,162.76 × 294,008.64
  4. Step 4: Simplify right side
    421,258.56x = 170,866,872,686.25
  5. Step 5: Solve for x
    x = 170,866,872,686.25/421,258.56
  6. Step 6: Final answer
    x = 405,610.45

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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.