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Finding the Fourth Proportional to 514,410.60, 709,870.14 and 284,958.48

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Solution

The fourth proportional to 514,410.60, 709,870.14 and 284,958.48 is: 393,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,410.60 : 709,870.14 = 284,958.48 : x
  2. Step 2: Convert to fraction form
    514,410.60/709,870.14 = 284,958.48/x
  3. Step 3: Cross multiply
    514,410.60x = 709,870.14 × 284,958.48
  4. Step 4: Simplify right side
    514,410.60x = 202,283,516,091.79
  5. Step 5: Solve for x
    x = 202,283,516,091.79/514,410.60
  6. Step 6: Final answer
    x = 393,233.57

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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.