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Finding the Fourth Proportional to 369,901.76, 510,460.80 and 200,132.16

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Solution

The fourth proportional to 369,901.76, 510,460.80 and 200,132.16 is: 276,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,901.76 : 510,460.80 = 200,132.16 : x
  2. Step 2: Convert to fraction form
    369,901.76/510,460.80 = 200,132.16/x
  3. Step 3: Cross multiply
    369,901.76x = 510,460.80 × 200,132.16
  4. Step 4: Simplify right side
    369,901.76x = 102,159,622,499.33
  5. Step 5: Solve for x
    x = 102,159,622,499.33/369,901.76
  6. Step 6: Final answer
    x = 276,180.42

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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.