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Finding the Fourth Proportional to 565,462.69, 780,346.43 and 307,339.56

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Solution

The fourth proportional to 565,462.69, 780,346.43 and 307,339.56 is: 424,132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,462.69 : 780,346.43 = 307,339.56 : x
  2. Step 2: Convert to fraction form
    565,462.69/780,346.43 = 307,339.56/x
  3. Step 3: Cross multiply
    565,462.69x = 780,346.43 × 307,339.56
  4. Step 4: Simplify right side
    565,462.69x = 239,831,328,443.77
  5. Step 5: Solve for x
    x = 239,831,328,443.77/565,462.69
  6. Step 6: Final answer
    x = 424,132.90

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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.