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Finding the Fourth Proportional to 370,018.45, 510,627 and 200,252.56

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Solution

The fourth proportional to 370,018.45, 510,627 and 200,252.56 is: 276,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,018.45 : 510,627 = 200,252.56 : x
  2. Step 2: Convert to fraction form
    370,018.45/510,627 = 200,252.56/x
  3. Step 3: Cross multiply
    370,018.45x = 510,627 × 200,252.56
  4. Step 4: Simplify right side
    370,018.45x = 102,254,363,955.12
  5. Step 5: Solve for x
    x = 102,254,363,955.12/370,018.45
  6. Step 6: Final answer
    x = 276,349.37

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1.5x scale

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.