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Finding the Fourth Proportional to 340,274.30, 510,411.44 and 103,617

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Solution

The fourth proportional to 340,274.30, 510,411.44 and 103,617 is: 155,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,274.30 : 510,411.44 = 103,617 : x
  2. Step 2: Convert to fraction form
    340,274.30/510,411.44 = 103,617/x
  3. Step 3: Cross multiply
    340,274.30x = 510,411.44 × 103,617
  4. Step 4: Simplify right side
    340,274.30x = 52,887,302,178.48
  5. Step 5: Solve for x
    x = 52,887,302,178.48/340,274.30
  6. Step 6: Final answer
    x = 155,425.50

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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.