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Finding the Fourth Proportional to 430,099, 640,981.43 and 407,704.12

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Solution

The fourth proportional to 430,099, 640,981.43 and 407,704.12 is: 607,606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,099 : 640,981.43 = 407,704.12 : x
  2. Step 2: Convert to fraction form
    430,099/640,981.43 = 407,704.12/x
  3. Step 3: Cross multiply
    430,099x = 640,981.43 × 407,704.12
  4. Step 4: Simplify right side
    430,099x = 261,330,769,854.49
  5. Step 5: Solve for x
    x = 261,330,769,854.49/430,099
  6. Step 6: Final answer
    x = 607,606.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.