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Finding the Fourth Proportional to 514,074.98, 709,432.89 and 287,719.94

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Solution

The fourth proportional to 514,074.98, 709,432.89 and 287,719.94 is: 397,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,074.98 : 709,432.89 = 287,719.94 : x
  2. Step 2: Convert to fraction form
    514,074.98/709,432.89 = 287,719.94/x
  3. Step 3: Cross multiply
    514,074.98x = 709,432.89 × 287,719.94
  4. Step 4: Simplify right side
    514,074.98x = 204,117,988,544.83
  5. Step 5: Solve for x
    x = 204,117,988,544.83/514,074.98
  6. Step 6: Final answer
    x = 397,058.79

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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.