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Finding the Fourth Proportional to 530,172.20, 731,582.88 and 300,683

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Solution

The fourth proportional to 530,172.20, 731,582.88 and 300,683 is: 414,911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,172.20 : 731,582.88 = 300,683 : x
  2. Step 2: Convert to fraction form
    530,172.20/731,582.88 = 300,683/x
  3. Step 3: Cross multiply
    530,172.20x = 731,582.88 × 300,683
  4. Step 4: Simplify right side
    530,172.20x = 219,974,535,107.04
  5. Step 5: Solve for x
    x = 219,974,535,107.04/530,172.20
  6. Step 6: Final answer
    x = 414,911.49

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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.