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Finding the Fourth Proportional to 514,364.55, 709,833.60 and 307,846.45

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Solution

The fourth proportional to 514,364.55, 709,833.60 and 307,846.45 is: 424,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,364.55 : 709,833.60 = 307,846.45 : x
  2. Step 2: Convert to fraction form
    514,364.55/709,833.60 = 307,846.45/x
  3. Step 3: Cross multiply
    514,364.55x = 709,833.60 × 307,846.45
  4. Step 4: Simplify right side
    514,364.55x = 218,519,753,607.42
  5. Step 5: Solve for x
    x = 218,519,753,607.42/514,364.55
  6. Step 6: Final answer
    x = 424,834.39

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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.