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Finding the Fourth Proportional to 565,493, 780,381.96 and 323,779.28

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Solution

The fourth proportional to 565,493, 780,381.96 and 323,779.28 is: 446,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,493 : 780,381.96 = 323,779.28 : x
  2. Step 2: Convert to fraction form
    565,493/780,381.96 = 323,779.28/x
  3. Step 3: Cross multiply
    565,493x = 780,381.96 × 323,779.28
  4. Step 4: Simplify right side
    565,493x = 252,671,509,133.79
  5. Step 5: Solve for x
    x = 252,671,509,133.79/565,493
  6. Step 6: Final answer
    x = 446,816.33

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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.