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Finding the Fourth Proportional to 565,419.60, 780,285.08 and 307,296.54

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Solution

The fourth proportional to 565,419.60, 780,285.08 and 307,296.54 is: 424,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,419.60 : 780,285.08 = 307,296.54 : x
  2. Step 2: Convert to fraction form
    565,419.60/780,285.08 = 307,296.54/x
  3. Step 3: Cross multiply
    565,419.60x = 780,285.08 × 307,296.54
  4. Step 4: Simplify right side
    565,419.60x = 239,778,903,761.14
  5. Step 5: Solve for x
    x = 239,778,903,761.14/565,419.60
  6. Step 6: Final answer
    x = 424,072.50

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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.