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Finding the Fourth Proportional to 353,802.74, 488,171.61 and 210,534.80

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Solution

The fourth proportional to 353,802.74, 488,171.61 and 210,534.80 is: 290,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,802.74 : 488,171.61 = 210,534.80 : x
  2. Step 2: Convert to fraction form
    353,802.74/488,171.61 = 210,534.80/x
  3. Step 3: Cross multiply
    353,802.74x = 488,171.61 × 210,534.80
  4. Step 4: Simplify right side
    353,802.74x = 102,777,109,836.17
  5. Step 5: Solve for x
    x = 102,777,109,836.17/353,802.74
  6. Step 6: Final answer
    x = 290,492.69

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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.