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Finding the Fourth Proportional to 530,391.40, 731,940.09 and 288,675.71

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Solution

The fourth proportional to 530,391.40, 731,940.09 and 288,675.71 is: 398,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,391.40 : 731,940.09 = 288,675.71 : x
  2. Step 2: Convert to fraction form
    530,391.40/731,940.09 = 288,675.71/x
  3. Step 3: Cross multiply
    530,391.40x = 731,940.09 × 288,675.71
  4. Step 4: Simplify right side
    530,391.40x = 211,293,320,055.14
  5. Step 5: Solve for x
    x = 211,293,320,055.14/530,391.40
  6. Step 6: Final answer
    x = 398,372.45

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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.