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Finding the Fourth Proportional to 442,301, 663,451.32 and 142,825.64

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Solution

The fourth proportional to 442,301, 663,451.32 and 142,825.64 is: 214,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,301 : 663,451.32 = 142,825.64 : x
  2. Step 2: Convert to fraction form
    442,301/663,451.32 = 142,825.64/x
  3. Step 3: Cross multiply
    442,301x = 663,451.32 × 142,825.64
  4. Step 4: Simplify right side
    442,301x = 94,757,859,387.84
  5. Step 5: Solve for x
    x = 94,757,859,387.84/442,301
  6. Step 6: Final answer
    x = 214,238.40

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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.