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Finding the Fourth Proportional to 369,804, 510,329.28 and 200,038.12

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Solution

The fourth proportional to 369,804, 510,329.28 and 200,038.12 is: 276,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,804 : 510,329.28 = 200,038.12 : x
  2. Step 2: Convert to fraction form
    369,804/510,329.28 = 200,038.12/x
  3. Step 3: Cross multiply
    369,804x = 510,329.28 × 200,038.12
  4. Step 4: Simplify right side
    369,804x = 102,085,309,752.15
  5. Step 5: Solve for x
    x = 102,085,309,752.15/369,804
  6. Step 6: Final answer
    x = 276,052.48

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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.