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Finding the Fourth Proportional to 410,080, 615,120 and 114,592

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Solution

The fourth proportional to 410,080, 615,120 and 114,592 is: 171,888

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,080 : 615,120 = 114,592 : x
  2. Step 2: Convert to fraction form
    410,080/615,120 = 114,592/x
  3. Step 3: Cross multiply
    410,080x = 615,120 × 114,592
  4. Step 4: Simplify right side
    410,080x = 70,487,831,040
  5. Step 5: Solve for x
    x = 70,487,831,040/410,080
  6. Step 6: Final answer
    x = 171,888

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.