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Finding the Fourth Proportional to 361,460.84, 498,869.75 and 208,470.47

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Solution

The fourth proportional to 361,460.84, 498,869.75 and 208,470.47 is: 287,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,460.84 : 498,869.75 = 208,470.47 : x
  2. Step 2: Convert to fraction form
    361,460.84/498,869.75 = 208,470.47/x
  3. Step 3: Cross multiply
    361,460.84x = 498,869.75 × 208,470.47
  4. Step 4: Simplify right side
    361,460.84x = 103,999,609,278.11
  5. Step 5: Solve for x
    x = 103,999,609,278.11/361,460.84
  6. Step 6: Final answer
    x = 287,720.27

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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.