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Finding the Fourth Proportional to 553,934.92, 830,569.86 and 254,039.80

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Solution

The fourth proportional to 553,934.92, 830,569.86 and 254,039.80 is: 380,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,934.92 : 830,569.86 = 254,039.80 : x
  2. Step 2: Convert to fraction form
    553,934.92/830,569.86 = 254,039.80/x
  3. Step 3: Cross multiply
    553,934.92x = 830,569.86 × 254,039.80
  4. Step 4: Simplify right side
    553,934.92x = 210,997,801,120.43
  5. Step 5: Solve for x
    x = 210,997,801,120.43/553,934.92
  6. Step 6: Final answer
    x = 380,907.20

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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.