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Finding the Fourth Proportional to 664,219.48, 916,643.12 and 377,780.80

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Solution

The fourth proportional to 664,219.48, 916,643.12 and 377,780.80 is: 521,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,219.48 : 916,643.12 = 377,780.80 : x
  2. Step 2: Convert to fraction form
    664,219.48/916,643.12 = 377,780.80/x
  3. Step 3: Cross multiply
    664,219.48x = 916,643.12 × 377,780.80
  4. Step 4: Simplify right side
    664,219.48x = 346,290,171,188.10
  5. Step 5: Solve for x
    x = 346,290,171,188.10/664,219.48
  6. Step 6: Final answer
    x = 521,349.01

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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.