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Finding the Fourth Proportional to 420,872.40, 631,308.60 and 210,434.40

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Solution

The fourth proportional to 420,872.40, 631,308.60 and 210,434.40 is: 315,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,872.40 : 631,308.60 = 210,434.40 : x
  2. Step 2: Convert to fraction form
    420,872.40/631,308.60 = 210,434.40/x
  3. Step 3: Cross multiply
    420,872.40x = 631,308.60 × 210,434.40
  4. Step 4: Simplify right side
    420,872.40x = 132,849,046,455.84
  5. Step 5: Solve for x
    x = 132,849,046,455.84/420,872.40
  6. Step 6: Final answer
    x = 315,651.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.