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Finding the Fourth Proportional to 698,145.54, 963,519.05 and 422,655.24

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Solution

The fourth proportional to 698,145.54, 963,519.05 and 422,655.24 is: 583,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,145.54 : 963,519.05 = 422,655.24 : x
  2. Step 2: Convert to fraction form
    698,145.54/963,519.05 = 422,655.24/x
  3. Step 3: Cross multiply
    698,145.54x = 963,519.05 × 422,655.24
  4. Step 4: Simplify right side
    698,145.54x = 407,236,373,209.05
  5. Step 5: Solve for x
    x = 407,236,373,209.05/698,145.54
  6. Step 6: Final answer
    x = 583,311.57

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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.