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Finding the Fourth Proportional to 530,178.96, 731,405.88 and 315,197.04

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Solution

The fourth proportional to 530,178.96, 731,405.88 and 315,197.04 is: 434,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,178.96 : 731,405.88 = 315,197.04 : x
  2. Step 2: Convert to fraction form
    530,178.96/731,405.88 = 315,197.04/x
  3. Step 3: Cross multiply
    530,178.96x = 731,405.88 × 315,197.04
  4. Step 4: Simplify right side
    530,178.96x = 230,536,968,414.60
  5. Step 5: Solve for x
    x = 230,536,968,414.60/530,178.96
  6. Step 6: Final answer
    x = 434,828.59

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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.