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Finding the Fourth Proportional to 384,385.57, 530,484.88 and 214,652.50

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Solution

The fourth proportional to 384,385.57, 530,484.88 and 214,652.50 is: 296,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,385.57 : 530,484.88 = 214,652.50 : x
  2. Step 2: Convert to fraction form
    384,385.57/530,484.88 = 214,652.50/x
  3. Step 3: Cross multiply
    384,385.57x = 530,484.88 × 214,652.50
  4. Step 4: Simplify right side
    384,385.57x = 113,869,903,051.78
  5. Step 5: Solve for x
    x = 113,869,903,051.78/384,385.57
  6. Step 6: Final answer
    x = 296,238.76

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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.