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Finding the Fourth Proportional to 389,490, 537,496.20 and 276,509.58

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Solution

The fourth proportional to 389,490, 537,496.20 and 276,509.58 is: 381,583.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,490 : 537,496.20 = 276,509.58 : x
  2. Step 2: Convert to fraction form
    389,490/537,496.20 = 276,509.58/x
  3. Step 3: Cross multiply
    389,490x = 537,496.20 × 276,509.58
  4. Step 4: Simplify right side
    389,490x = 148,622,848,513.60
  5. Step 5: Solve for x
    x = 148,622,848,513.60/389,490
  6. Step 6: Final answer
    x = 381,583.22

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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.