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Finding the Fourth Proportional to 384,118.60, 530,030.70 and 214,319.80

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Solution

The fourth proportional to 384,118.60, 530,030.70 and 214,319.80 is: 295,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,118.60 : 530,030.70 = 214,319.80 : x
  2. Step 2: Convert to fraction form
    384,118.60/530,030.70 = 214,319.80/x
  3. Step 3: Cross multiply
    384,118.60x = 530,030.70 × 214,319.80
  4. Step 4: Simplify right side
    384,118.60x = 113,596,073,617.86
  5. Step 5: Solve for x
    x = 113,596,073,617.86/384,118.60
  6. Step 6: Final answer
    x = 295,731.77

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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.