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Finding the Fourth Proportional to 565,416.50, 780,280.82 and 307,293.44

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Solution

The fourth proportional to 565,416.50, 780,280.82 and 307,293.44 is: 424,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,416.50 : 780,280.82 = 307,293.44 : x
  2. Step 2: Convert to fraction form
    565,416.50/780,280.82 = 307,293.44/x
  3. Step 3: Cross multiply
    565,416.50x = 780,280.82 × 307,293.44
  4. Step 4: Simplify right side
    565,416.50x = 239,775,171,905.95
  5. Step 5: Solve for x
    x = 239,775,171,905.95/565,416.50
  6. Step 6: Final answer
    x = 424,068.22

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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.