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Finding the Fourth Proportional to 687,998.53, 949,913 and 429,991.46

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Solution

The fourth proportional to 687,998.53, 949,913 and 429,991.46 is: 593,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,998.53 : 949,913 = 429,991.46 : x
  2. Step 2: Convert to fraction form
    687,998.53/949,913 = 429,991.46/x
  3. Step 3: Cross multiply
    687,998.53x = 949,913 × 429,991.46
  4. Step 4: Simplify right side
    687,998.53x = 408,454,477,742.98
  5. Step 5: Solve for x
    x = 408,454,477,742.98/687,998.53
  6. Step 6: Final answer
    x = 593,685.10

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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.