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Finding the Fourth Proportional to 496,853.32, 686,459.22 and 346,621

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Solution

The fourth proportional to 496,853.32, 686,459.22 and 346,621 is: 478,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,853.32 : 686,459.22 = 346,621 : x
  2. Step 2: Convert to fraction form
    496,853.32/686,459.22 = 346,621/x
  3. Step 3: Cross multiply
    496,853.32x = 686,459.22 × 346,621
  4. Step 4: Simplify right side
    496,853.32x = 237,941,181,295.62
  5. Step 5: Solve for x
    x = 237,941,181,295.62/496,853.32
  6. Step 6: Final answer
    x = 478,896.23

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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.