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Finding the Fourth Proportional to 442,423.16, 663,634.02 and 353,258.84

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Solution

The fourth proportional to 442,423.16, 663,634.02 and 353,258.84 is: 529,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,423.16 : 663,634.02 = 353,258.84 : x
  2. Step 2: Convert to fraction form
    442,423.16/663,634.02 = 353,258.84/x
  3. Step 3: Cross multiply
    442,423.16x = 663,634.02 × 353,258.84
  4. Step 4: Simplify right side
    442,423.16x = 234,434,584,089.74
  5. Step 5: Solve for x
    x = 234,434,584,089.74/442,423.16
  6. Step 6: Final answer
    x = 529,887.69

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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.