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Finding the Fourth Proportional to 565,188.95, 779,915.49 and 323,416.10

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Solution

The fourth proportional to 565,188.95, 779,915.49 and 323,416.10 is: 446,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,188.95 : 779,915.49 = 323,416.10 : x
  2. Step 2: Convert to fraction form
    565,188.95/779,915.49 = 323,416.10/x
  3. Step 3: Cross multiply
    565,188.95x = 779,915.49 × 323,416.10
  4. Step 4: Simplify right side
    565,188.95x = 252,237,222,205.81
  5. Step 5: Solve for x
    x = 252,237,222,205.81/565,188.95
  6. Step 6: Final answer
    x = 446,288.32

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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.