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Finding the Fourth Proportional to 614,428, 847,910.64 and 331,804

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Solution

The fourth proportional to 614,428, 847,910.64 and 331,804 is: 457,889.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,428 : 847,910.64 = 331,804 : x
  2. Step 2: Convert to fraction form
    614,428/847,910.64 = 331,804/x
  3. Step 3: Cross multiply
    614,428x = 847,910.64 × 331,804
  4. Step 4: Simplify right side
    614,428x = 281,340,141,994.56
  5. Step 5: Solve for x
    x = 281,340,141,994.56/614,428
  6. Step 6: Final answer
    x = 457,889.52

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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.