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Finding the Fourth Proportional to 684,591.66, 944,422.16 and 442,953

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Solution

The fourth proportional to 684,591.66, 944,422.16 and 442,953 is: 611,071.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,591.66 : 944,422.16 = 442,953 : x
  2. Step 2: Convert to fraction form
    684,591.66/944,422.16 = 442,953/x
  3. Step 3: Cross multiply
    684,591.66x = 944,422.16 × 442,953
  4. Step 4: Simplify right side
    684,591.66x = 418,334,629,038.48
  5. Step 5: Solve for x
    x = 418,334,629,038.48/684,591.66
  6. Step 6: Final answer
    x = 611,071.76

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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.