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Finding the Fourth Proportional to 496,855.32, 686,461.98 and 346,623

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Solution

The fourth proportional to 496,855.32, 686,461.98 and 346,623 is: 478,898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,855.32 : 686,461.98 = 346,623 : x
  2. Step 2: Convert to fraction form
    496,855.32/686,461.98 = 346,623/x
  3. Step 3: Cross multiply
    496,855.32x = 686,461.98 × 346,623
  4. Step 4: Simplify right side
    496,855.32x = 237,943,510,893.54
  5. Step 5: Solve for x
    x = 237,943,510,893.54/496,855.32
  6. Step 6: Final answer
    x = 478,898.99

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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.