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Finding the Fourth Proportional to 309,616.40, 427,275.52 and 173,680.58

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Solution

The fourth proportional to 309,616.40, 427,275.52 and 173,680.58 is: 239,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,616.40 : 427,275.52 = 173,680.58 : x
  2. Step 2: Convert to fraction form
    309,616.40/427,275.52 = 173,680.58/x
  3. Step 3: Cross multiply
    309,616.40x = 427,275.52 × 173,680.58
  4. Step 4: Simplify right side
    309,616.40x = 74,209,457,562.82
  5. Step 5: Solve for x
    x = 74,209,457,562.82/309,616.40
  6. Step 6: Final answer
    x = 239,681.94

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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.