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Finding the Fourth Proportional to 687,489.64, 948,849.70 and 401,009.78

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Solution

The fourth proportional to 687,489.64, 948,849.70 and 401,009.78 is: 553,459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,489.64 : 948,849.70 = 401,009.78 : x
  2. Step 2: Convert to fraction form
    687,489.64/948,849.70 = 401,009.78/x
  3. Step 3: Cross multiply
    687,489.64x = 948,849.70 × 401,009.78
  4. Step 4: Simplify right side
    687,489.64x = 380,498,009,450.07
  5. Step 5: Solve for x
    x = 380,498,009,450.07/687,489.64
  6. Step 6: Final answer
    x = 553,459.99

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1.5x scale

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.