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Finding the Fourth Proportional to 353,490.47, 487,825.19 and 200,538.98

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Solution

The fourth proportional to 353,490.47, 487,825.19 and 200,538.98 is: 276,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,490.47 : 487,825.19 = 200,538.98 : x
  2. Step 2: Convert to fraction form
    353,490.47/487,825.19 = 200,538.98/x
  3. Step 3: Cross multiply
    353,490.47x = 487,825.19 × 200,538.98
  4. Step 4: Simplify right side
    353,490.47x = 97,827,962,579.09
  5. Step 5: Solve for x
    x = 97,827,962,579.09/353,490.47
  6. Step 6: Final answer
    x = 276,748.52

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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.