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Finding the Fourth Proportional to 539,341.84, 809,143.04 and 202,385.28

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Solution

The fourth proportional to 539,341.84, 809,143.04 and 202,385.28 is: 303,626.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,341.84 : 809,143.04 = 202,385.28 : x
  2. Step 2: Convert to fraction form
    539,341.84/809,143.04 = 202,385.28/x
  3. Step 3: Cross multiply
    539,341.84x = 809,143.04 × 202,385.28
  4. Step 4: Simplify right side
    539,341.84x = 163,758,640,710.45
  5. Step 5: Solve for x
    x = 163,758,640,710.45/539,341.84
  6. Step 6: Final answer
    x = 303,626.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.