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Finding the Fourth Proportional to 565,419.50, 780,284.97 and 307,296.44

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Solution

The fourth proportional to 565,419.50, 780,284.97 and 307,296.44 is: 424,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,419.50 : 780,284.97 = 307,296.44 : x
  2. Step 2: Convert to fraction form
    565,419.50/780,284.97 = 307,296.44/x
  3. Step 3: Cross multiply
    565,419.50x = 780,284.97 × 307,296.44
  4. Step 4: Simplify right side
    565,419.50x = 239,778,795,417.22
  5. Step 5: Solve for x
    x = 239,778,795,417.22/565,419.50
  6. Step 6: Final answer
    x = 424,072.38

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1.5x scale

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.