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Finding the Fourth Proportional to 315,218.64, 434,864.52 and 207,650.64

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Solution

The fourth proportional to 315,218.64, 434,864.52 and 207,650.64 is: 286,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,218.64 : 434,864.52 = 207,650.64 : x
  2. Step 2: Convert to fraction form
    315,218.64/434,864.52 = 207,650.64/x
  3. Step 3: Cross multiply
    315,218.64x = 434,864.52 × 207,650.64
  4. Step 4: Simplify right side
    315,218.64x = 90,299,895,891.29
  5. Step 5: Solve for x
    x = 90,299,895,891.29/315,218.64
  6. Step 6: Final answer
    x = 286,467.50

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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.