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Finding the Fourth Proportional to 514,362.56, 709,830.41 and 307,843.61

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Solution

The fourth proportional to 514,362.56, 709,830.41 and 307,843.61 is: 424,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,362.56 : 709,830.41 = 307,843.61 : x
  2. Step 2: Convert to fraction form
    514,362.56/709,830.41 = 307,843.61/x
  3. Step 3: Cross multiply
    514,362.56x = 709,830.41 × 307,843.61
  4. Step 4: Simplify right side
    514,362.56x = 218,516,750,813.81
  5. Step 5: Solve for x
    x = 218,516,750,813.81/514,362.56
  6. Step 6: Final answer
    x = 424,830.21

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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.