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Finding the Fourth Proportional to 384,440.88, 530,502.84 and 214,641.84

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Solution

The fourth proportional to 384,440.88, 530,502.84 and 214,641.84 is: 296,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,440.88 : 530,502.84 = 214,641.84 : x
  2. Step 2: Convert to fraction form
    384,440.88/530,502.84 = 214,641.84/x
  3. Step 3: Cross multiply
    384,440.88x = 530,502.84 × 214,641.84
  4. Step 4: Simplify right side
    384,440.88x = 113,868,105,702.83
  5. Step 5: Solve for x
    x = 113,868,105,702.83/384,440.88
  6. Step 6: Final answer
    x = 296,191.46

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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.