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Finding the Fourth Proportional to 384,045.84, 530,013 and 211,997.52

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Solution

The fourth proportional to 384,045.84, 530,013 and 211,997.52 is: 292,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,045.84 : 530,013 = 211,997.52 : x
  2. Step 2: Convert to fraction form
    384,045.84/530,013 = 211,997.52/x
  3. Step 3: Cross multiply
    384,045.84x = 530,013 × 211,997.52
  4. Step 4: Simplify right side
    384,045.84x = 112,361,441,567.76
  5. Step 5: Solve for x
    x = 112,361,441,567.76/384,045.84
  6. Step 6: Final answer
    x = 292,572.99

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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.