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Finding the Fourth Proportional to 390,489.12, 538,680.78 and 262,943.28

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Solution

The fourth proportional to 390,489.12, 538,680.78 and 262,943.28 is: 362,730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,489.12 : 538,680.78 = 262,943.28 : x
  2. Step 2: Convert to fraction form
    390,489.12/538,680.78 = 262,943.28/x
  3. Step 3: Cross multiply
    390,489.12x = 538,680.78 × 262,943.28
  4. Step 4: Simplify right side
    390,489.12x = 141,642,491,166.16
  5. Step 5: Solve for x
    x = 141,642,491,166.16/390,489.12
  6. Step 6: Final answer
    x = 362,730.95

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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.