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Finding the Fourth Proportional to 496,852.32, 686,457.84 and 346,620

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Solution

The fourth proportional to 496,852.32, 686,457.84 and 346,620 is: 478,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,852.32 : 686,457.84 = 346,620 : x
  2. Step 2: Convert to fraction form
    496,852.32/686,457.84 = 346,620/x
  3. Step 3: Cross multiply
    496,852.32x = 686,457.84 × 346,620
  4. Step 4: Simplify right side
    496,852.32x = 237,940,016,500.80
  5. Step 5: Solve for x
    x = 237,940,016,500.80/496,852.32
  6. Step 6: Final answer
    x = 478,894.85

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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.