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Finding the Fourth Proportional to 272,920.31, 407,461.45 and 208,541.53

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Solution

The fourth proportional to 272,920.31, 407,461.45 and 208,541.53 is: 311,345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,920.31 : 407,461.45 = 208,541.53 : x
  2. Step 2: Convert to fraction form
    272,920.31/407,461.45 = 208,541.53/x
  3. Step 3: Cross multiply
    272,920.31x = 407,461.45 × 208,541.53
  4. Step 4: Simplify right side
    272,920.31x = 84,972,632,161.71
  5. Step 5: Solve for x
    x = 84,972,632,161.71/272,920.31
  6. Step 6: Final answer
    x = 311,345.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.