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Finding the Fourth Proportional to 668,461.17, 922,477.94 and 381,980.57

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Solution

The fourth proportional to 668,461.17, 922,477.94 and 381,980.57 is: 527,134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,461.17 : 922,477.94 = 381,980.57 : x
  2. Step 2: Convert to fraction form
    668,461.17/922,477.94 = 381,980.57/x
  3. Step 3: Cross multiply
    668,461.17x = 922,477.94 × 381,980.57
  4. Step 4: Simplify right side
    668,461.17x = 352,368,649,729.92
  5. Step 5: Solve for x
    x = 352,368,649,729.92/668,461.17
  6. Step 6: Final answer
    x = 527,134.06

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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.