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Finding the Fourth Proportional to 421,102.84, 581,156.46 and 239,871.54

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Solution

The fourth proportional to 421,102.84, 581,156.46 and 239,871.54 is: 331,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,102.84 : 581,156.46 = 239,871.54 : x
  2. Step 2: Convert to fraction form
    421,102.84/581,156.46 = 239,871.54/x
  3. Step 3: Cross multiply
    421,102.84x = 581,156.46 × 239,871.54
  4. Step 4: Simplify right side
    421,102.84x = 139,402,895,041.15
  5. Step 5: Solve for x
    x = 139,402,895,041.15/421,102.84
  6. Step 6: Final answer
    x = 331,042.40

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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.