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Finding the Fourth Proportional to 370,429.16, 511,194.64 and 200,663.16

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Solution

The fourth proportional to 370,429.16, 511,194.64 and 200,663.16 is: 276,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,429.16 : 511,194.64 = 200,663.16 : x
  2. Step 2: Convert to fraction form
    370,429.16/511,194.64 = 200,663.16/x
  3. Step 3: Cross multiply
    370,429.16x = 511,194.64 × 200,663.16
  4. Step 4: Simplify right side
    370,429.16x = 102,577,931,837.46
  5. Step 5: Solve for x
    x = 102,577,931,837.46/370,429.16
  6. Step 6: Final answer
    x = 276,916.46

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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.