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Finding the Fourth Proportional to 497,462.94, 686,609.66 and 316,139.51

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Solution

The fourth proportional to 497,462.94, 686,609.66 and 316,139.51 is: 436,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,462.94 : 686,609.66 = 316,139.51 : x
  2. Step 2: Convert to fraction form
    497,462.94/686,609.66 = 316,139.51/x
  3. Step 3: Cross multiply
    497,462.94x = 686,609.66 × 316,139.51
  4. Step 4: Simplify right side
    497,462.94x = 217,064,441,473.67
  5. Step 5: Solve for x
    x = 217,064,441,473.67/497,462.94
  6. Step 6: Final answer
    x = 436,342.94

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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.