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Finding the Fourth Proportional to 455,851.20, 684,943.20 and 404,529.60

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Solution

The fourth proportional to 455,851.20, 684,943.20 and 404,529.60 is: 607,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,851.20 : 684,943.20 = 404,529.60 : x
  2. Step 2: Convert to fraction form
    455,851.20/684,943.20 = 404,529.60/x
  3. Step 3: Cross multiply
    455,851.20x = 684,943.20 × 404,529.60
  4. Step 4: Simplify right side
    455,851.20x = 277,079,798,718.72
  5. Step 5: Solve for x
    x = 277,079,798,718.72/455,851.20
  6. Step 6: Final answer
    x = 607,829.48

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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.