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Finding the Fourth Proportional to 687,995.64, 949,443.30 and 382,091.76

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Solution

The fourth proportional to 687,995.64, 949,443.30 and 382,091.76 is: 527,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,995.64 : 949,443.30 = 382,091.76 : x
  2. Step 2: Convert to fraction form
    687,995.64/949,443.30 = 382,091.76/x
  3. Step 3: Cross multiply
    687,995.64x = 949,443.30 × 382,091.76
  4. Step 4: Simplify right side
    687,995.64x = 362,774,461,517.21
  5. Step 5: Solve for x
    x = 362,774,461,517.21/687,995.64
  6. Step 6: Final answer
    x = 527,291.80

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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.