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Finding the Fourth Proportional to 358,394.80, 494,493.24 and 207,402.16

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Solution

The fourth proportional to 358,394.80, 494,493.24 and 207,402.16 is: 286,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,394.80 : 494,493.24 = 207,402.16 : x
  2. Step 2: Convert to fraction form
    358,394.80/494,493.24 = 207,402.16/x
  3. Step 3: Cross multiply
    358,394.80x = 494,493.24 × 207,402.16
  4. Step 4: Simplify right side
    358,394.80x = 102,558,966,081.40
  5. Step 5: Solve for x
    x = 102,558,966,081.40/358,394.80
  6. Step 6: Final answer
    x = 286,161.98

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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.