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Finding the Fourth Proportional to 497,458.94, 686,604.14 and 316,135.51

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Solution

The fourth proportional to 497,458.94, 686,604.14 and 316,135.51 is: 436,337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,458.94 : 686,604.14 = 316,135.51 : x
  2. Step 2: Convert to fraction form
    497,458.94/686,604.14 = 316,135.51/x
  3. Step 3: Cross multiply
    497,458.94x = 686,604.14 × 316,135.51
  4. Step 4: Simplify right side
    497,458.94x = 217,059,949,967.01
  5. Step 5: Solve for x
    x = 217,059,949,967.01/497,458.94
  6. Step 6: Final answer
    x = 436,337.42

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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.