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Finding the Fourth Proportional to 635,712.61, 953,464.09 and 209,254

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Solution

The fourth proportional to 635,712.61, 953,464.09 and 209,254 is: 313,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,712.61 : 953,464.09 = 209,254 : x
  2. Step 2: Convert to fraction form
    635,712.61/953,464.09 = 209,254/x
  3. Step 3: Cross multiply
    635,712.61x = 953,464.09 × 209,254
  4. Step 4: Simplify right side
    635,712.61x = 199,516,174,688.86
  5. Step 5: Solve for x
    x = 199,516,174,688.86/635,712.61
  6. Step 6: Final answer
    x = 313,846.50

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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.