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Finding the Fourth Proportional to 497,678, 686,579.06 and 316,292.80

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Solution

The fourth proportional to 497,678, 686,579.06 and 316,292.80 is: 436,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,678 : 686,579.06 = 316,292.80 : x
  2. Step 2: Convert to fraction form
    497,678/686,579.06 = 316,292.80/x
  3. Step 3: Cross multiply
    497,678x = 686,579.06 × 316,292.80
  4. Step 4: Simplify right side
    497,678x = 217,160,013,308.77
  5. Step 5: Solve for x
    x = 217,160,013,308.77/497,678
  6. Step 6: Final answer
    x = 436,346.42

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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.