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Finding the Fourth Proportional to 379,464.48, 523,616.40 and 209,688.48

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Solution

The fourth proportional to 379,464.48, 523,616.40 and 209,688.48 is: 289,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,464.48 : 523,616.40 = 209,688.48 : x
  2. Step 2: Convert to fraction form
    379,464.48/523,616.40 = 209,688.48/x
  3. Step 3: Cross multiply
    379,464.48x = 523,616.40 × 209,688.48
  4. Step 4: Simplify right side
    379,464.48x = 109,796,327,019.07
  5. Step 5: Solve for x
    x = 109,796,327,019.07/379,464.48
  6. Step 6: Final answer
    x = 289,345.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.