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Finding the Fourth Proportional to 384,489, 530,584.47 and 212,403.24

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Solution

The fourth proportional to 384,489, 530,584.47 and 212,403.24 is: 293,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,489 : 530,584.47 = 212,403.24 : x
  2. Step 2: Convert to fraction form
    384,489/530,584.47 = 212,403.24/x
  3. Step 3: Cross multiply
    384,489x = 530,584.47 × 212,403.24
  4. Step 4: Simplify right side
    384,489x = 112,697,860,521.68
  5. Step 5: Solve for x
    x = 112,697,860,521.68/384,489
  6. Step 6: Final answer
    x = 293,110.75

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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.