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Finding the Fourth Proportional to 505,460.04, 758,192.52 and 205,943.40

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Solution

The fourth proportional to 505,460.04, 758,192.52 and 205,943.40 is: 308,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,460.04 : 758,192.52 = 205,943.40 : x
  2. Step 2: Convert to fraction form
    505,460.04/758,192.52 = 205,943.40/x
  3. Step 3: Cross multiply
    505,460.04x = 758,192.52 × 205,943.40
  4. Step 4: Simplify right side
    505,460.04x = 156,144,745,423.37
  5. Step 5: Solve for x
    x = 156,144,745,423.37/505,460.04
  6. Step 6: Final answer
    x = 308,916.10

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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.