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Finding the Fourth Proportional to 497,703.15, 686,800.76 and 282,813.39

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Solution

The fourth proportional to 497,703.15, 686,800.76 and 282,813.39 is: 390,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,703.15 : 686,800.76 = 282,813.39 : x
  2. Step 2: Convert to fraction form
    497,703.15/686,800.76 = 282,813.39/x
  3. Step 3: Cross multiply
    497,703.15x = 686,800.76 × 282,813.39
  4. Step 4: Simplify right side
    497,703.15x = 194,236,449,776.11
  5. Step 5: Solve for x
    x = 194,236,449,776.11/497,703.15
  6. Step 6: Final answer
    x = 390,265.66

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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.