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Finding the Fourth Proportional to 421,395.74, 581,388.31 and 257,881.79

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Solution

The fourth proportional to 421,395.74, 581,388.31 and 257,881.79 is: 355,792.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,395.74 : 581,388.31 = 257,881.79 : x
  2. Step 2: Convert to fraction form
    421,395.74/581,388.31 = 257,881.79/x
  3. Step 3: Cross multiply
    421,395.74x = 581,388.31 × 257,881.79
  4. Step 4: Simplify right side
    421,395.74x = 149,929,457,423.17
  5. Step 5: Solve for x
    x = 149,929,457,423.17/421,395.74
  6. Step 6: Final answer
    x = 355,792.53

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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.