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Finding the Fourth Proportional to 497,911.68, 686,895.84 and 306,855.36

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Solution

The fourth proportional to 497,911.68, 686,895.84 and 306,855.36 is: 423,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,911.68 : 686,895.84 = 306,855.36 : x
  2. Step 2: Convert to fraction form
    497,911.68/686,895.84 = 306,855.36/x
  3. Step 3: Cross multiply
    497,911.68x = 686,895.84 × 306,855.36
  4. Step 4: Simplify right side
    497,911.68x = 210,777,670,265.70
  5. Step 5: Solve for x
    x = 210,777,670,265.70/497,911.68
  6. Step 6: Final answer
    x = 423,323.41

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1.5x scale

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.