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Finding the Fourth Proportional to 358,712.50, 494,979.91 and 205,742.79

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Solution

The fourth proportional to 358,712.50, 494,979.91 and 205,742.79 is: 283,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,712.50 : 494,979.91 = 205,742.79 : x
  2. Step 2: Convert to fraction form
    358,712.50/494,979.91 = 205,742.79/x
  3. Step 3: Cross multiply
    358,712.50x = 494,979.91 × 205,742.79
  4. Step 4: Simplify right side
    358,712.50x = 101,838,547,677.35
  5. Step 5: Solve for x
    x = 101,838,547,677.35/358,712.50
  6. Step 6: Final answer
    x = 283,900.19

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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.