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Finding the Fourth Proportional to 610,772.56, 842,515.95 and 380,930.81

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Solution

The fourth proportional to 610,772.56, 842,515.95 and 380,930.81 is: 525,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,772.56 : 842,515.95 = 380,930.81 : x
  2. Step 2: Convert to fraction form
    610,772.56/842,515.95 = 380,930.81/x
  3. Step 3: Cross multiply
    610,772.56x = 842,515.95 × 380,930.81
  4. Step 4: Simplify right side
    610,772.56x = 320,940,281,366.77
  5. Step 5: Solve for x
    x = 320,940,281,366.77/610,772.56
  6. Step 6: Final answer
    x = 525,466.11

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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.