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Finding the Fourth Proportional to 455,943.60, 684,109.80 and 219,164.40

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Solution

The fourth proportional to 455,943.60, 684,109.80 and 219,164.40 is: 328,840.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,943.60 : 684,109.80 = 219,164.40 : x
  2. Step 2: Convert to fraction form
    455,943.60/684,109.80 = 219,164.40/x
  3. Step 3: Cross multiply
    455,943.60x = 684,109.80 × 219,164.40
  4. Step 4: Simplify right side
    455,943.60x = 149,932,513,851.12
  5. Step 5: Solve for x
    x = 149,932,513,851.12/455,943.60
  6. Step 6: Final answer
    x = 328,840.04

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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.