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Finding the Fourth Proportional to 530,399.53, 731,969.31 and 288,690.88

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Solution

The fourth proportional to 530,399.53, 731,969.31 and 288,690.88 is: 398,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,399.53 : 731,969.31 = 288,690.88 : x
  2. Step 2: Convert to fraction form
    530,399.53/731,969.31 = 288,690.88/x
  3. Step 3: Cross multiply
    530,399.53x = 731,969.31 × 288,690.88
  4. Step 4: Simplify right side
    530,399.53x = 211,312,864,236.89
  5. Step 5: Solve for x
    x = 211,312,864,236.89/530,399.53
  6. Step 6: Final answer
    x = 398,403.19

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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.