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Finding the Fourth Proportional to 565,377.40, 780,214.98 and 307,249.12

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Solution

The fourth proportional to 565,377.40, 780,214.98 and 307,249.12 is: 424,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,377.40 : 780,214.98 = 307,249.12 : x
  2. Step 2: Convert to fraction form
    565,377.40/780,214.98 = 307,249.12/x
  3. Step 3: Cross multiply
    565,377.40x = 780,214.98 × 307,249.12
  4. Step 4: Simplify right side
    565,377.40x = 239,720,366,015.82
  5. Step 5: Solve for x
    x = 239,720,366,015.82/565,377.40
  6. Step 6: Final answer
    x = 424,000.62

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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.